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Finding the Fourth Proportional to 306,711.60, 423,251.64 and 172,549.68

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Solution

The fourth proportional to 306,711.60, 423,251.64 and 172,549.68 is: 238,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,711.60 : 423,251.64 = 172,549.68 : x
  2. Step 2: Convert to fraction form
    306,711.60/423,251.64 = 172,549.68/x
  3. Step 3: Cross multiply
    306,711.60x = 423,251.64 × 172,549.68
  4. Step 4: Simplify right side
    306,711.60x = 73,031,935,041.48
  5. Step 5: Solve for x
    x = 73,031,935,041.48/306,711.60
  6. Step 6: Final answer
    x = 238,112.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.