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Finding the Fourth Proportional to 275,903.10, 413,757.45 and 98,415.90

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Solution

The fourth proportional to 275,903.10, 413,757.45 and 98,415.90 is: 147,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,903.10 : 413,757.45 = 98,415.90 : x
  2. Step 2: Convert to fraction form
    275,903.10/413,757.45 = 98,415.90/x
  3. Step 3: Cross multiply
    275,903.10x = 413,757.45 × 98,415.90
  4. Step 4: Simplify right side
    275,903.10x = 40,720,311,823.46
  5. Step 5: Solve for x
    x = 40,720,311,823.46/275,903.10
  6. Step 6: Final answer
    x = 147,589.18

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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.