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Finding the Fourth Proportional to 521,468.20, 782,202.30 and 442,930.60

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Solution

The fourth proportional to 521,468.20, 782,202.30 and 442,930.60 is: 664,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,468.20 : 782,202.30 = 442,930.60 : x
  2. Step 2: Convert to fraction form
    521,468.20/782,202.30 = 442,930.60/x
  3. Step 3: Cross multiply
    521,468.20x = 782,202.30 × 442,930.60
  4. Step 4: Simplify right side
    521,468.20x = 346,461,334,060.38
  5. Step 5: Solve for x
    x = 346,461,334,060.38/521,468.20
  6. Step 6: Final answer
    x = 664,395.90

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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.