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Finding the Fourth Proportional to 407,152.31, 561,869.53 and 225,891.86

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Solution

The fourth proportional to 407,152.31, 561,869.53 and 225,891.86 is: 311,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,152.31 : 561,869.53 = 225,891.86 : x
  2. Step 2: Convert to fraction form
    407,152.31/561,869.53 = 225,891.86/x
  3. Step 3: Cross multiply
    407,152.31x = 561,869.53 × 225,891.86
  4. Step 4: Simplify right side
    407,152.31x = 126,921,749,834.95
  5. Step 5: Solve for x
    x = 126,921,749,834.95/407,152.31
  6. Step 6: Final answer
    x = 311,730.40

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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.