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Finding the Fourth Proportional to 522,049.20, 781,324.20 and 459,063.60

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Solution

The fourth proportional to 522,049.20, 781,324.20 and 459,063.60 is: 687,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,049.20 : 781,324.20 = 459,063.60 : x
  2. Step 2: Convert to fraction form
    522,049.20/781,324.20 = 459,063.60/x
  3. Step 3: Cross multiply
    522,049.20x = 781,324.20 × 459,063.60
  4. Step 4: Simplify right side
    522,049.20x = 358,677,500,019.12
  5. Step 5: Solve for x
    x = 358,677,500,019.12/522,049.20
  6. Step 6: Final answer
    x = 687,056.89

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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.