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Finding the Fourth Proportional to 403,613.20, 605,549.40 and 178,886.80

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Solution

The fourth proportional to 403,613.20, 605,549.40 and 178,886.80 is: 268,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,613.20 : 605,549.40 = 178,886.80 : x
  2. Step 2: Convert to fraction form
    403,613.20/605,549.40 = 178,886.80/x
  3. Step 3: Cross multiply
    403,613.20x = 605,549.40 × 178,886.80
  4. Step 4: Simplify right side
    403,613.20x = 108,324,794,407.92
  5. Step 5: Solve for x
    x = 108,324,794,407.92/403,613.20
  6. Step 6: Final answer
    x = 268,387.64

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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.