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Finding the Fourth Proportional to 546,859.20, 819,674.40 and 280,516.80

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Solution

The fourth proportional to 546,859.20, 819,674.40 and 280,516.80 is: 420,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,859.20 : 819,674.40 = 280,516.80 : x
  2. Step 2: Convert to fraction form
    546,859.20/819,674.40 = 280,516.80/x
  3. Step 3: Cross multiply
    546,859.20x = 819,674.40 × 280,516.80
  4. Step 4: Simplify right side
    546,859.20x = 229,932,439,729.92
  5. Step 5: Solve for x
    x = 229,932,439,729.92/546,859.20
  6. Step 6: Final answer
    x = 420,460.04

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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.