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Finding the Fourth Proportional to 522,089.20, 781,384.20 and 459,103.60

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Solution

The fourth proportional to 522,089.20, 781,384.20 and 459,103.60 is: 687,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,089.20 : 781,384.20 = 459,103.60 : x
  2. Step 2: Convert to fraction form
    522,089.20/781,384.20 = 459,103.60/x
  3. Step 3: Cross multiply
    522,089.20x = 781,384.20 × 459,103.60
  4. Step 4: Simplify right side
    522,089.20x = 358,736,299,203.12
  5. Step 5: Solve for x
    x = 358,736,299,203.12/522,089.20
  6. Step 6: Final answer
    x = 687,116.87

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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.