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Finding the Fourth Proportional to 416,639.89, 574,966.11 and 225,654.85

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Solution

The fourth proportional to 416,639.89, 574,966.11 and 225,654.85 is: 311,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,639.89 : 574,966.11 = 225,654.85 : x
  2. Step 2: Convert to fraction form
    416,639.89/574,966.11 = 225,654.85/x
  3. Step 3: Cross multiply
    416,639.89x = 574,966.11 × 225,654.85
  4. Step 4: Simplify right side
    416,639.89x = 129,743,891,307.13
  5. Step 5: Solve for x
    x = 129,743,891,307.13/416,639.89
  6. Step 6: Final answer
    x = 311,405.35

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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.