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Finding the Fourth Proportional to 485,784.80, 727,510.80 and 392,472.80

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Solution

The fourth proportional to 485,784.80, 727,510.80 and 392,472.80 is: 587,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,784.80 : 727,510.80 = 392,472.80 : x
  2. Step 2: Convert to fraction form
    485,784.80/727,510.80 = 392,472.80/x
  3. Step 3: Cross multiply
    485,784.80x = 727,510.80 × 392,472.80
  4. Step 4: Simplify right side
    485,784.80x = 285,528,200,706.24
  5. Step 5: Solve for x
    x = 285,528,200,706.24/485,784.80
  6. Step 6: Final answer
    x = 587,766.85

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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.