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Finding the Fourth Proportional to 822,658.60, 1,233,404.70 and 317,024.20

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Solution

The fourth proportional to 822,658.60, 1,233,404.70 and 317,024.20 is: 475,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,658.60 : 1,233,404.70 = 317,024.20 : x
  2. Step 2: Convert to fraction form
    822,658.60/1,233,404.70 = 317,024.20/x
  3. Step 3: Cross multiply
    822,658.60x = 1,233,404.70 × 317,024.20
  4. Step 4: Simplify right side
    822,658.60x = 391,019,138,293.74
  5. Step 5: Solve for x
    x = 391,019,138,293.74/822,658.60
  6. Step 6: Final answer
    x = 475,311.55

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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.