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Finding the Fourth Proportional to 522,046.20, 781,514.10 and 311,575.80

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Solution

The fourth proportional to 522,046.20, 781,514.10 and 311,575.80 is: 466,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,046.20 : 781,514.10 = 311,575.80 : x
  2. Step 2: Convert to fraction form
    522,046.20/781,514.10 = 311,575.80/x
  3. Step 3: Cross multiply
    522,046.20x = 781,514.10 × 311,575.80
  4. Step 4: Simplify right side
    522,046.20x = 243,500,880,918.78
  5. Step 5: Solve for x
    x = 243,500,880,918.78/522,046.20
  6. Step 6: Final answer
    x = 466,435.50

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1.5x scale

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.