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Finding the Fourth Proportional to 386,159.68, 532,892.82 and 211,727.80

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Solution

The fourth proportional to 386,159.68, 532,892.82 and 211,727.80 is: 292,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,159.68 : 532,892.82 = 211,727.80 : x
  2. Step 2: Convert to fraction form
    386,159.68/532,892.82 = 211,727.80/x
  3. Step 3: Cross multiply
    386,159.68x = 532,892.82 × 211,727.80
  4. Step 4: Simplify right side
    386,159.68x = 112,828,224,414.40
  5. Step 5: Solve for x
    x = 112,828,224,414.40/386,159.68
  6. Step 6: Final answer
    x = 292,180.23

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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.