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Finding the Fourth Proportional to 438,071.25, 657,223.53 and 138,557.28

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Solution

The fourth proportional to 438,071.25, 657,223.53 and 138,557.28 is: 207,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,071.25 : 657,223.53 = 138,557.28 : x
  2. Step 2: Convert to fraction form
    438,071.25/657,223.53 = 138,557.28/x
  3. Step 3: Cross multiply
    438,071.25x = 657,223.53 × 138,557.28
  4. Step 4: Simplify right side
    438,071.25x = 91,063,104,668.80
  5. Step 5: Solve for x
    x = 91,063,104,668.80/438,071.25
  6. Step 6: Final answer
    x = 207,872.82

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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.