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Finding the Fourth Proportional to 416,419.72, 574,663.80 and 225,437.20

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Solution

The fourth proportional to 416,419.72, 574,663.80 and 225,437.20 is: 311,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419.72 : 574,663.80 = 225,437.20 : x
  2. Step 2: Convert to fraction form
    416,419.72/574,663.80 = 225,437.20/x
  3. Step 3: Cross multiply
    416,419.72x = 574,663.80 × 225,437.20
  4. Step 4: Simplify right side
    416,419.72x = 129,550,598,013.36
  5. Step 5: Solve for x
    x = 129,550,598,013.36/416,419.72
  6. Step 6: Final answer
    x = 311,105.82

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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.