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Finding the Fourth Proportional to 416,820.90, 575,213.40 and 225,834.15

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Solution

The fourth proportional to 416,820.90, 575,213.40 and 225,834.15 is: 311,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,820.90 : 575,213.40 = 225,834.15 : x
  2. Step 2: Convert to fraction form
    416,820.90/575,213.40 = 225,834.15/x
  3. Step 3: Cross multiply
    416,820.90x = 575,213.40 × 225,834.15
  4. Step 4: Simplify right side
    416,820.90x = 129,902,829,257.61
  5. Step 5: Solve for x
    x = 129,902,829,257.61/416,820.90
  6. Step 6: Final answer
    x = 311,651.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.