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Finding the Fourth Proportional to 657,704.26, 907,634.92 and 355,898.26

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Solution

The fourth proportional to 657,704.26, 907,634.92 and 355,898.26 is: 491,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,704.26 : 907,634.92 = 355,898.26 : x
  2. Step 2: Convert to fraction form
    657,704.26/907,634.92 = 355,898.26/x
  3. Step 3: Cross multiply
    657,704.26x = 907,634.92 × 355,898.26
  4. Step 4: Simplify right side
    657,704.26x = 323,025,684,549.90
  5. Step 5: Solve for x
    x = 323,025,684,549.90/657,704.26
  6. Step 6: Final answer
    x = 491,141.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.