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Finding the Fourth Proportional to 561,678.30, 842,517.45 and 421,710.30

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Solution

The fourth proportional to 561,678.30, 842,517.45 and 421,710.30 is: 632,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,678.30 : 842,517.45 = 421,710.30 : x
  2. Step 2: Convert to fraction form
    561,678.30/842,517.45 = 421,710.30/x
  3. Step 3: Cross multiply
    561,678.30x = 842,517.45 × 421,710.30
  4. Step 4: Simplify right side
    561,678.30x = 355,298,286,594.74
  5. Step 5: Solve for x
    x = 355,298,286,594.74/561,678.30
  6. Step 6: Final answer
    x = 632,565.45

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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.