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Finding the Fourth Proportional to 438,471.43, 657,725.43 and 138,945.38

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Solution

The fourth proportional to 438,471.43, 657,725.43 and 138,945.38 is: 208,423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,471.43 : 657,725.43 = 138,945.38 : x
  2. Step 2: Convert to fraction form
    438,471.43/657,725.43 = 138,945.38/x
  3. Step 3: Cross multiply
    438,471.43x = 657,725.43 × 138,945.38
  4. Step 4: Simplify right side
    438,471.43x = 91,387,907,039.43
  5. Step 5: Solve for x
    x = 91,387,907,039.43/438,471.43
  6. Step 6: Final answer
    x = 208,423.86

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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.