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Finding the Fourth Proportional to 406,951.68, 561,565.90 and 225,656.94

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Solution

The fourth proportional to 406,951.68, 561,565.90 and 225,656.94 is: 311,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,951.68 : 561,565.90 = 225,656.94 : x
  2. Step 2: Convert to fraction form
    406,951.68/561,565.90 = 225,656.94/x
  3. Step 3: Cross multiply
    406,951.68x = 561,565.90 × 225,656.94
  4. Step 4: Simplify right side
    406,951.68x = 126,721,242,602.35
  5. Step 5: Solve for x
    x = 126,721,242,602.35/406,951.68
  6. Step 6: Final answer
    x = 311,391.37

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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.