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Finding the Fourth Proportional to 287,197.92, 430,796.68 and 129,241.85

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Solution

The fourth proportional to 287,197.92, 430,796.68 and 129,241.85 is: 193,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,197.92 : 430,796.68 = 129,241.85 : x
  2. Step 2: Convert to fraction form
    287,197.92/430,796.68 = 129,241.85/x
  3. Step 3: Cross multiply
    287,197.92x = 430,796.68 × 129,241.85
  4. Step 4: Simplify right side
    287,197.92x = 55,676,959,520.11
  5. Step 5: Solve for x
    x = 55,676,959,520.11/287,197.92
  6. Step 6: Final answer
    x = 193,862.68

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1.5x scale

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.