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Finding the Fourth Proportional to 296,871.30, 445,306.95 and 86,516.10

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Solution

The fourth proportional to 296,871.30, 445,306.95 and 86,516.10 is: 129,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,871.30 : 445,306.95 = 86,516.10 : x
  2. Step 2: Convert to fraction form
    296,871.30/445,306.95 = 86,516.10/x
  3. Step 3: Cross multiply
    296,871.30x = 445,306.95 × 86,516.10
  4. Step 4: Simplify right side
    296,871.30x = 38,526,220,616.90
  5. Step 5: Solve for x
    x = 38,526,220,616.90/296,871.30
  6. Step 6: Final answer
    x = 129,774.15

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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.