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Finding the Fourth Proportional to 442,840.52, 664,372.02 and 127,298

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Solution

The fourth proportional to 442,840.52, 664,372.02 and 127,298 is: 190,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,840.52 : 664,372.02 = 127,298 : x
  2. Step 2: Convert to fraction form
    442,840.52/664,372.02 = 127,298/x
  3. Step 3: Cross multiply
    442,840.52x = 664,372.02 × 127,298
  4. Step 4: Simplify right side
    442,840.52x = 84,573,229,401.96
  5. Step 5: Solve for x
    x = 84,573,229,401.96/442,840.52
  6. Step 6: Final answer
    x = 190,978.98

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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.