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Finding the Fourth Proportional to 542,768.30, 814,152.45 and 402,800.30

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Solution

The fourth proportional to 542,768.30, 814,152.45 and 402,800.30 is: 604,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,768.30 : 814,152.45 = 402,800.30 : x
  2. Step 2: Convert to fraction form
    542,768.30/814,152.45 = 402,800.30/x
  3. Step 3: Cross multiply
    542,768.30x = 814,152.45 × 402,800.30
  4. Step 4: Simplify right side
    542,768.30x = 327,940,851,105.74
  5. Step 5: Solve for x
    x = 327,940,851,105.74/542,768.30
  6. Step 6: Final answer
    x = 604,200.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.