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Finding the Fourth Proportional to 407,731.69, 611,549.97 and 108,235.54

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Solution

The fourth proportional to 407,731.69, 611,549.97 and 108,235.54 is: 162,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,731.69 : 611,549.97 = 108,235.54 : x
  2. Step 2: Convert to fraction form
    407,731.69/611,549.97 = 108,235.54/x
  3. Step 3: Cross multiply
    407,731.69x = 611,549.97 × 108,235.54
  4. Step 4: Simplify right side
    407,731.69x = 66,191,441,239.93
  5. Step 5: Solve for x
    x = 66,191,441,239.93/407,731.69
  6. Step 6: Final answer
    x = 162,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.