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Finding the Fourth Proportional to 485,122.40, 727,813.20 and 432,893.60

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Solution

The fourth proportional to 485,122.40, 727,813.20 and 432,893.60 is: 649,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,122.40 : 727,813.20 = 432,893.60 : x
  2. Step 2: Convert to fraction form
    485,122.40/727,813.20 = 432,893.60/x
  3. Step 3: Cross multiply
    485,122.40x = 727,813.20 × 432,893.60
  4. Step 4: Simplify right side
    485,122.40x = 315,065,676,275.52
  5. Step 5: Solve for x
    x = 315,065,676,275.52/485,122.40
  6. Step 6: Final answer
    x = 649,456.05

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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.