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Finding the Fourth Proportional to 521,395.02, 782,388.36 and 281,505.71

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Solution

The fourth proportional to 521,395.02, 782,388.36 and 281,505.71 is: 422,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,395.02 : 782,388.36 = 281,505.71 : x
  2. Step 2: Convert to fraction form
    521,395.02/782,388.36 = 281,505.71/x
  3. Step 3: Cross multiply
    521,395.02x = 782,388.36 × 281,505.71
  4. Step 4: Simplify right side
    521,395.02x = 220,246,786,865.59
  5. Step 5: Solve for x
    x = 220,246,786,865.59/521,395.02
  6. Step 6: Final answer
    x = 422,418.28

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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.