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Finding the Fourth Proportional to 438,159.10, 657,319.84 and 138,715.06

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Solution

The fourth proportional to 438,159.10, 657,319.84 and 138,715.06 is: 208,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,159.10 : 657,319.84 = 138,715.06 : x
  2. Step 2: Convert to fraction form
    438,159.10/657,319.84 = 138,715.06/x
  3. Step 3: Cross multiply
    438,159.10x = 657,319.84 × 138,715.06
  4. Step 4: Simplify right side
    438,159.10x = 91,180,161,044.79
  5. Step 5: Solve for x
    x = 91,180,161,044.79/438,159.10
  6. Step 6: Final answer
    x = 208,098.29

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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.