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Finding the Fourth Proportional to 406,406.28, 560,845.14 and 225,120.98

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Solution

The fourth proportional to 406,406.28, 560,845.14 and 225,120.98 is: 310,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,406.28 : 560,845.14 = 225,120.98 : x
  2. Step 2: Convert to fraction form
    406,406.28/560,845.14 = 225,120.98/x
  3. Step 3: Cross multiply
    406,406.28x = 560,845.14 × 225,120.98
  4. Step 4: Simplify right side
    406,406.28x = 126,258,007,545.04
  5. Step 5: Solve for x
    x = 126,258,007,545.04/406,406.28
  6. Step 6: Final answer
    x = 310,669.43

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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.