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Finding the Fourth Proportional to 456,512.30, 684,768.45 and 156,966.20

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Solution

The fourth proportional to 456,512.30, 684,768.45 and 156,966.20 is: 235,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,512.30 : 684,768.45 = 156,966.20 : x
  2. Step 2: Convert to fraction form
    456,512.30/684,768.45 = 156,966.20/x
  3. Step 3: Cross multiply
    456,512.30x = 684,768.45 × 156,966.20
  4. Step 4: Simplify right side
    456,512.30x = 107,485,501,476.39
  5. Step 5: Solve for x
    x = 107,485,501,476.39/456,512.30
  6. Step 6: Final answer
    x = 235,449.30

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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.