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Finding the Fourth Proportional to 487,481.76, 731,221.56 and 132,547.32

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Solution

The fourth proportional to 487,481.76, 731,221.56 and 132,547.32 is: 198,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,481.76 : 731,221.56 = 132,547.32 : x
  2. Step 2: Convert to fraction form
    487,481.76/731,221.56 = 132,547.32/x
  3. Step 3: Cross multiply
    487,481.76x = 731,221.56 × 132,547.32
  4. Step 4: Simplify right side
    487,481.76x = 96,921,458,104.22
  5. Step 5: Solve for x
    x = 96,921,458,104.22/487,481.76
  6. Step 6: Final answer
    x = 198,820.69

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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.