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Finding the Fourth Proportional to 257,332.80, 386,344.80 and 164,251.20

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Solution

The fourth proportional to 257,332.80, 386,344.80 and 164,251.20 is: 246,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,332.80 : 386,344.80 = 164,251.20 : x
  2. Step 2: Convert to fraction form
    257,332.80/386,344.80 = 164,251.20/x
  3. Step 3: Cross multiply
    257,332.80x = 386,344.80 × 164,251.20
  4. Step 4: Simplify right side
    257,332.80x = 63,457,597,013.76
  5. Step 5: Solve for x
    x = 63,457,597,013.76/257,332.80
  6. Step 6: Final answer
    x = 246,597.39

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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.