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Finding the Fourth Proportional to 409,721.60, 614,971.20 and 252,257.60

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Solution

The fourth proportional to 409,721.60, 614,971.20 and 252,257.60 is: 378,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,721.60 : 614,971.20 = 252,257.60 : x
  2. Step 2: Convert to fraction form
    409,721.60/614,971.20 = 252,257.60/x
  3. Step 3: Cross multiply
    409,721.60x = 614,971.20 × 252,257.60
  4. Step 4: Simplify right side
    409,721.60x = 155,131,158,981.12
  5. Step 5: Solve for x
    x = 155,131,158,981.12/409,721.60
  6. Step 6: Final answer
    x = 378,625.78

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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.