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Finding the Fourth Proportional to 282,671.28, 424,004.76 and 72,308.88

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Solution

The fourth proportional to 282,671.28, 424,004.76 and 72,308.88 is: 108,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,671.28 : 424,004.76 = 72,308.88 : x
  2. Step 2: Convert to fraction form
    282,671.28/424,004.76 = 72,308.88/x
  3. Step 3: Cross multiply
    282,671.28x = 424,004.76 × 72,308.88
  4. Step 4: Simplify right side
    282,671.28x = 30,659,309,310.27
  5. Step 5: Solve for x
    x = 30,659,309,310.27/282,671.28
  6. Step 6: Final answer
    x = 108,462.77

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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.