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Finding the Fourth Proportional to 275,979.76, 413,720.19 and 98,444.57

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Solution

The fourth proportional to 275,979.76, 413,720.19 and 98,444.57 is: 147,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,979.76 : 413,720.19 = 98,444.57 : x
  2. Step 2: Convert to fraction form
    275,979.76/413,720.19 = 98,444.57/x
  3. Step 3: Cross multiply
    275,979.76x = 413,720.19 × 98,444.57
  4. Step 4: Simplify right side
    275,979.76x = 40,728,506,204.87
  5. Step 5: Solve for x
    x = 40,728,506,204.87/275,979.76
  6. Step 6: Final answer
    x = 147,577.87

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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.