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Finding the Fourth Proportional to 416,415.43, 574,655.13 and 225,428.80

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Solution

The fourth proportional to 416,415.43, 574,655.13 and 225,428.80 is: 311,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,415.43 : 574,655.13 = 225,428.80 : x
  2. Step 2: Convert to fraction form
    416,415.43/574,655.13 = 225,428.80/x
  3. Step 3: Cross multiply
    416,415.43x = 574,655.13 × 225,428.80
  4. Step 4: Simplify right side
    416,415.43x = 129,543,816,369.74
  5. Step 5: Solve for x
    x = 129,543,816,369.74/416,415.43
  6. Step 6: Final answer
    x = 311,092.74

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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.