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Finding the Fourth Proportional to 387,301.68, 581,011.56 and 197,658.48

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Solution

The fourth proportional to 387,301.68, 581,011.56 and 197,658.48 is: 296,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,301.68 : 581,011.56 = 197,658.48 : x
  2. Step 2: Convert to fraction form
    387,301.68/581,011.56 = 197,658.48/x
  3. Step 3: Cross multiply
    387,301.68x = 581,011.56 × 197,658.48
  4. Step 4: Simplify right side
    387,301.68x = 114,841,861,812.03
  5. Step 5: Solve for x
    x = 114,841,861,812.03/387,301.68
  6. Step 6: Final answer
    x = 296,517.85

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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.