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Finding the Fourth Proportional to 438,224.33, 657,434.97 and 138,722.87

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Solution

The fourth proportional to 438,224.33, 657,434.97 and 138,722.87 is: 208,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,224.33 : 657,434.97 = 138,722.87 : x
  2. Step 2: Convert to fraction form
    438,224.33/657,434.97 = 138,722.87/x
  3. Step 3: Cross multiply
    438,224.33x = 657,434.97 × 138,722.87
  4. Step 4: Simplify right side
    438,224.33x = 91,201,262,589.59
  5. Step 5: Solve for x
    x = 91,201,262,589.59/438,224.33
  6. Step 6: Final answer
    x = 208,115.47

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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.