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Finding the Fourth Proportional to 407,002.50, 561,663.45 and 225,742.19

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Solution

The fourth proportional to 407,002.50, 561,663.45 and 225,742.19 is: 311,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.50 : 561,663.45 = 225,742.19 : x
  2. Step 2: Convert to fraction form
    407,002.50/561,663.45 = 225,742.19/x
  3. Step 3: Cross multiply
    407,002.50x = 561,663.45 × 225,742.19
  4. Step 4: Simplify right side
    407,002.50x = 126,791,134,437.64
  5. Step 5: Solve for x
    x = 126,791,134,437.64/407,002.50
  6. Step 6: Final answer
    x = 311,524.22

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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.