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Finding the Fourth Proportional to 356,490.71, 491,957.18 and 205,587.71

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Solution

The fourth proportional to 356,490.71, 491,957.18 and 205,587.71 is: 283,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,490.71 : 491,957.18 = 205,587.71 : x
  2. Step 2: Convert to fraction form
    356,490.71/491,957.18 = 205,587.71/x
  3. Step 3: Cross multiply
    356,490.71x = 491,957.18 × 205,587.71
  4. Step 4: Simplify right side
    356,490.71x = 101,140,350,054.26
  5. Step 5: Solve for x
    x = 101,140,350,054.26/356,490.71
  6. Step 6: Final answer
    x = 283,711.04

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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.