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Finding the Fourth Proportional to 275,475.80, 413,168.34 and 257,543.48

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Solution

The fourth proportional to 275,475.80, 413,168.34 and 257,543.48 is: 386,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,475.80 : 413,168.34 = 257,543.48 : x
  2. Step 2: Convert to fraction form
    275,475.80/413,168.34 = 257,543.48/x
  3. Step 3: Cross multiply
    275,475.80x = 413,168.34 × 257,543.48
  4. Step 4: Simplify right side
    275,475.80x = 106,408,812,109.42
  5. Step 5: Solve for x
    x = 106,408,812,109.42/275,475.80
  6. Step 6: Final answer
    x = 386,272.81

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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.