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Finding the Fourth Proportional to 416,902.92, 575,324.58 and 225,921

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Solution

The fourth proportional to 416,902.92, 575,324.58 and 225,921 is: 311,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,902.92 : 575,324.58 = 225,921 : x
  2. Step 2: Convert to fraction form
    416,902.92/575,324.58 = 225,921/x
  3. Step 3: Cross multiply
    416,902.92x = 575,324.58 × 225,921
  4. Step 4: Simplify right side
    416,902.92x = 129,977,904,438.18
  5. Step 5: Solve for x
    x = 129,977,904,438.18/416,902.92
  6. Step 6: Final answer
    x = 311,770.19

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1.5x scale

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.