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Finding the Fourth Proportional to 438,471.34, 657,725.30 and 138,945.29

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Solution

The fourth proportional to 438,471.34, 657,725.30 and 138,945.29 is: 208,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,471.34 : 657,725.30 = 138,945.29 : x
  2. Step 2: Convert to fraction form
    438,471.34/657,725.30 = 138,945.29/x
  3. Step 3: Cross multiply
    438,471.34x = 657,725.30 × 138,945.29
  4. Step 4: Simplify right side
    438,471.34x = 91,387,828,565.48
  5. Step 5: Solve for x
    x = 91,387,828,565.48/438,471.34
  6. Step 6: Final answer
    x = 208,423.72

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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.