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Finding the Fourth Proportional to 257,471.10, 385,851.15 and 185,822.55

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Solution

The fourth proportional to 257,471.10, 385,851.15 and 185,822.55 is: 278,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,471.10 : 385,851.15 = 185,822.55 : x
  2. Step 2: Convert to fraction form
    257,471.10/385,851.15 = 185,822.55/x
  3. Step 3: Cross multiply
    257,471.10x = 385,851.15 × 185,822.55
  4. Step 4: Simplify right side
    257,471.10x = 71,699,844,613.43
  5. Step 5: Solve for x
    x = 71,699,844,613.43/257,471.10
  6. Step 6: Final answer
    x = 278,477.25

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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.