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Finding the Fourth Proportional to 442,119.86, 662,625.10 and 189,103.40

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Solution

The fourth proportional to 442,119.86, 662,625.10 and 189,103.40 is: 283,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,119.86 : 662,625.10 = 189,103.40 : x
  2. Step 2: Convert to fraction form
    442,119.86/662,625.10 = 189,103.40/x
  3. Step 3: Cross multiply
    442,119.86x = 662,625.10 × 189,103.40
  4. Step 4: Simplify right side
    442,119.86x = 125,304,659,335.34
  5. Step 5: Solve for x
    x = 125,304,659,335.34/442,119.86
  6. Step 6: Final answer
    x = 283,417.85

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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.