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Finding the Fourth Proportional to 415,097.16, 622,695.61 and 392,396.74

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Solution

The fourth proportional to 415,097.16, 622,695.61 and 392,396.74 is: 588,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,097.16 : 622,695.61 = 392,396.74 : x
  2. Step 2: Convert to fraction form
    415,097.16/622,695.61 = 392,396.74/x
  3. Step 3: Cross multiply
    415,097.16x = 622,695.61 × 392,396.74
  4. Step 4: Simplify right side
    415,097.16x = 244,343,729,488.87
  5. Step 5: Solve for x
    x = 244,343,729,488.87/415,097.16
  6. Step 6: Final answer
    x = 588,642.26

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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.