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Finding the Fourth Proportional to 406,737.77, 561,331.76 and 225,506.57

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Solution

The fourth proportional to 406,737.77, 561,331.76 and 225,506.57 is: 311,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,737.77 : 561,331.76 = 225,506.57 : x
  2. Step 2: Convert to fraction form
    406,737.77/561,331.76 = 225,506.57/x
  3. Step 3: Cross multiply
    406,737.77x = 561,331.76 × 225,506.57
  4. Step 4: Simplify right side
    406,737.77x = 126,583,995,895.47
  5. Step 5: Solve for x
    x = 126,583,995,895.47/406,737.77
  6. Step 6: Final answer
    x = 311,217.71

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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.