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Finding the Fourth Proportional to 406,998.03, 561,658.74 and 225,726.72

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Solution

The fourth proportional to 406,998.03, 561,658.74 and 225,726.72 is: 311,503.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,998.03 : 561,658.74 = 225,726.72 : x
  2. Step 2: Convert to fraction form
    406,998.03/561,658.74 = 225,726.72/x
  3. Step 3: Cross multiply
    406,998.03x = 561,658.74 × 225,726.72
  4. Step 4: Simplify right side
    406,998.03x = 126,781,385,139.53
  5. Step 5: Solve for x
    x = 126,781,385,139.53/406,998.03
  6. Step 6: Final answer
    x = 311,503.68

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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.