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Finding the Fourth Proportional to 407,011.55, 561,709.56 and 225,781.92

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Solution

The fourth proportional to 407,011.55, 561,709.56 and 225,781.92 is: 311,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,011.55 : 561,709.56 = 225,781.92 : x
  2. Step 2: Convert to fraction form
    407,011.55/561,709.56 = 225,781.92/x
  3. Step 3: Cross multiply
    407,011.55x = 561,709.56 × 225,781.92
  4. Step 4: Simplify right side
    407,011.55x = 126,823,862,939.16
  5. Step 5: Solve for x
    x = 126,823,862,939.16/407,011.55
  6. Step 6: Final answer
    x = 311,597.70

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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.