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Finding the Fourth Proportional to 296,838.16, 445,262.10 and 86,487.64

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Solution

The fourth proportional to 296,838.16, 445,262.10 and 86,487.64 is: 129,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,838.16 : 445,262.10 = 86,487.64 : x
  2. Step 2: Convert to fraction form
    296,838.16/445,262.10 = 86,487.64/x
  3. Step 3: Cross multiply
    296,838.16x = 445,262.10 × 86,487.64
  4. Step 4: Simplify right side
    296,838.16x = 38,509,668,210.44
  5. Step 5: Solve for x
    x = 38,509,668,210.44/296,838.16
  6. Step 6: Final answer
    x = 129,732.88

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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.