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Finding the Fourth Proportional to 415,127.20, 622,690.80 and 314,743.90

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Solution

The fourth proportional to 415,127.20, 622,690.80 and 314,743.90 is: 472,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,127.20 : 622,690.80 = 314,743.90 : x
  2. Step 2: Convert to fraction form
    415,127.20/622,690.80 = 314,743.90/x
  3. Step 3: Cross multiply
    415,127.20x = 622,690.80 × 314,743.90
  4. Step 4: Simplify right side
    415,127.20x = 195,988,130,886.12
  5. Step 5: Solve for x
    x = 195,988,130,886.12/415,127.20
  6. Step 6: Final answer
    x = 472,115.85

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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.