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Finding the Fourth Proportional to 328,070.71, 491,931.10 and 169,906.87

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Solution

The fourth proportional to 328,070.71, 491,931.10 and 169,906.87 is: 254,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,070.71 : 491,931.10 = 169,906.87 : x
  2. Step 2: Convert to fraction form
    328,070.71/491,931.10 = 169,906.87/x
  3. Step 3: Cross multiply
    328,070.71x = 491,931.10 × 169,906.87
  4. Step 4: Simplify right side
    328,070.71x = 83,582,473,456.66
  5. Step 5: Solve for x
    x = 83,582,473,456.66/328,070.71
  6. Step 6: Final answer
    x = 254,769.69

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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.