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Finding the Fourth Proportional to 406,970.28, 561,618.96 and 225,709.86

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Solution

The fourth proportional to 406,970.28, 561,618.96 and 225,709.86 is: 311,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970.28 : 561,618.96 = 225,709.86 : x
  2. Step 2: Convert to fraction form
    406,970.28/561,618.96 = 225,709.86/x
  3. Step 3: Cross multiply
    406,970.28x = 561,618.96 × 225,709.86
  4. Step 4: Simplify right side
    406,970.28x = 126,762,936,834.95
  5. Step 5: Solve for x
    x = 126,762,936,834.95/406,970.28
  6. Step 6: Final answer
    x = 311,479.59

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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.