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Finding the Fourth Proportional to 416,411.72, 574,652.76 and 225,429.20

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Solution

The fourth proportional to 416,411.72, 574,652.76 and 225,429.20 is: 311,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,411.72 : 574,652.76 = 225,429.20 : x
  2. Step 2: Convert to fraction form
    416,411.72/574,652.76 = 225,429.20/x
  3. Step 3: Cross multiply
    416,411.72x = 574,652.76 × 225,429.20
  4. Step 4: Simplify right side
    416,411.72x = 129,543,511,964.59
  5. Step 5: Solve for x
    x = 129,543,511,964.59/416,411.72
  6. Step 6: Final answer
    x = 311,094.78

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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.