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Finding the Fourth Proportional to 283,057.71, 424,586.56 and 72,695.85

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Solution

The fourth proportional to 283,057.71, 424,586.56 and 72,695.85 is: 109,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,057.71 : 424,586.56 = 72,695.85 : x
  2. Step 2: Convert to fraction form
    283,057.71/424,586.56 = 72,695.85/x
  3. Step 3: Cross multiply
    283,057.71x = 424,586.56 × 72,695.85
  4. Step 4: Simplify right side
    283,057.71x = 30,865,680,877.78
  5. Step 5: Solve for x
    x = 30,865,680,877.78/283,057.71
  6. Step 6: Final answer
    x = 109,043.77

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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.