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Finding the Fourth Proportional to 522,007.20, 781,455.60 and 311,536.80

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Solution

The fourth proportional to 522,007.20, 781,455.60 and 311,536.80 is: 466,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,007.20 : 781,455.60 = 311,536.80 : x
  2. Step 2: Convert to fraction form
    522,007.20/781,455.60 = 311,536.80/x
  3. Step 3: Cross multiply
    522,007.20x = 781,455.60 × 311,536.80
  4. Step 4: Simplify right side
    522,007.20x = 243,452,176,966.08
  5. Step 5: Solve for x
    x = 243,452,176,966.08/522,007.20
  6. Step 6: Final answer
    x = 466,377.05

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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.