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Finding the Fourth Proportional to 407,034.28, 610,580.56 and 107,511.86

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Solution

The fourth proportional to 407,034.28, 610,580.56 and 107,511.86 is: 161,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,034.28 : 610,580.56 = 107,511.86 : x
  2. Step 2: Convert to fraction form
    407,034.28/610,580.56 = 107,511.86/x
  3. Step 3: Cross multiply
    407,034.28x = 610,580.56 × 107,511.86
  4. Step 4: Simplify right side
    407,034.28x = 65,644,651,685.44
  5. Step 5: Solve for x
    x = 65,644,651,685.44/407,034.28
  6. Step 6: Final answer
    x = 161,275.49

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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.