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Finding the Fourth Proportional to 407,072.08, 610,663.76 and 140,761.12

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Solution

The fourth proportional to 407,072.08, 610,663.76 and 140,761.12 is: 211,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,072.08 : 610,663.76 = 140,761.12 : x
  2. Step 2: Convert to fraction form
    407,072.08/610,663.76 = 140,761.12/x
  3. Step 3: Cross multiply
    407,072.08x = 610,663.76 × 140,761.12
  4. Step 4: Simplify right side
    407,072.08x = 85,957,714,801.01
  5. Step 5: Solve for x
    x = 85,957,714,801.01/407,072.08
  6. Step 6: Final answer
    x = 211,160.92

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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.