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Finding the Fourth Proportional to 438,158.14, 657,353.64 and 138,644.04

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Solution

The fourth proportional to 438,158.14, 657,353.64 and 138,644.04 is: 208,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,158.14 : 657,353.64 = 138,644.04 : x
  2. Step 2: Convert to fraction form
    438,158.14/657,353.64 = 138,644.04/x
  3. Step 3: Cross multiply
    438,158.14x = 657,353.64 × 138,644.04
  4. Step 4: Simplify right side
    438,158.14x = 91,138,164,358.31
  5. Step 5: Solve for x
    x = 91,138,164,358.31/438,158.14
  6. Step 6: Final answer
    x = 208,002.90

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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.