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Finding the Fourth Proportional to 531,886.80, 733,989.20 and 290,169.30

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Solution

The fourth proportional to 531,886.80, 733,989.20 and 290,169.30 is: 400,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,886.80 : 733,989.20 = 290,169.30 : x
  2. Step 2: Convert to fraction form
    531,886.80/733,989.20 = 290,169.30/x
  3. Step 3: Cross multiply
    531,886.80x = 733,989.20 × 290,169.30
  4. Step 4: Simplify right side
    531,886.80x = 212,981,132,371.56
  5. Step 5: Solve for x
    x = 212,981,132,371.56/531,886.80
  6. Step 6: Final answer
    x = 400,425.68

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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.