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Finding the Fourth Proportional to 546,851.20, 819,662.40 and 280,508.80

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Solution

The fourth proportional to 546,851.20, 819,662.40 and 280,508.80 is: 420,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,851.20 : 819,662.40 = 280,508.80 : x
  2. Step 2: Convert to fraction form
    546,851.20/819,662.40 = 280,508.80/x
  3. Step 3: Cross multiply
    546,851.20x = 819,662.40 × 280,508.80
  4. Step 4: Simplify right side
    546,851.20x = 229,922,516,229.12
  5. Step 5: Solve for x
    x = 229,922,516,229.12/546,851.20
  6. Step 6: Final answer
    x = 420,448.04

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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.