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Finding the Fourth Proportional to 438,395.12, 657,690.96 and 138,874.40

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Solution

The fourth proportional to 438,395.12, 657,690.96 and 138,874.40 is: 208,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,395.12 : 657,690.96 = 138,874.40 : x
  2. Step 2: Convert to fraction form
    438,395.12/657,690.96 = 138,874.40/x
  3. Step 3: Cross multiply
    438,395.12x = 657,690.96 × 138,874.40
  4. Step 4: Simplify right side
    438,395.12x = 91,336,437,455.42
  5. Step 5: Solve for x
    x = 91,336,437,455.42/438,395.12
  6. Step 6: Final answer
    x = 208,342.73

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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.