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Finding the Fourth Proportional to 438,431.46, 657,666.30 and 138,934.14

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Solution

The fourth proportional to 438,431.46, 657,666.30 and 138,934.14 is: 208,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,431.46 : 657,666.30 = 138,934.14 : x
  2. Step 2: Convert to fraction form
    438,431.46/657,666.30 = 138,934.14/x
  3. Step 3: Cross multiply
    438,431.46x = 657,666.30 × 138,934.14
  4. Step 4: Simplify right side
    438,431.46x = 91,372,301,797.48
  5. Step 5: Solve for x
    x = 91,372,301,797.48/438,431.46
  6. Step 6: Final answer
    x = 208,407.27

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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.