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Finding the Fourth Proportional to 406,890, 610,335.12 and 126,407.28

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Solution

The fourth proportional to 406,890, 610,335.12 and 126,407.28 is: 189,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,890 : 610,335.12 = 126,407.28 : x
  2. Step 2: Convert to fraction form
    406,890/610,335.12 = 126,407.28/x
  3. Step 3: Cross multiply
    406,890x = 610,335.12 × 126,407.28
  4. Step 4: Simplify right side
    406,890x = 77,150,802,407.67
  5. Step 5: Solve for x
    x = 77,150,802,407.67/406,890
  6. Step 6: Final answer
    x = 189,610.96

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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.