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Finding the Fourth Proportional to 298,678.16, 448,104.80 and 88,321.60

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Solution

The fourth proportional to 298,678.16, 448,104.80 and 88,321.60 is: 132,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678.16 : 448,104.80 = 88,321.60 : x
  2. Step 2: Convert to fraction form
    298,678.16/448,104.80 = 88,321.60/x
  3. Step 3: Cross multiply
    298,678.16x = 448,104.80 × 88,321.60
  4. Step 4: Simplify right side
    298,678.16x = 39,577,332,903.68
  5. Step 5: Solve for x
    x = 39,577,332,903.68/298,678.16
  6. Step 6: Final answer
    x = 132,508.29

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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.