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Finding the Fourth Proportional to 318,914.40, 477,781.20 and 185,858.40

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Solution

The fourth proportional to 318,914.40, 477,781.20 and 185,858.40 is: 278,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,914.40 : 477,781.20 = 185,858.40 : x
  2. Step 2: Convert to fraction form
    318,914.40/477,781.20 = 185,858.40/x
  3. Step 3: Cross multiply
    318,914.40x = 477,781.20 × 185,858.40
  4. Step 4: Simplify right side
    318,914.40x = 88,799,649,382.08
  5. Step 5: Solve for x
    x = 88,799,649,382.08/318,914.40
  6. Step 6: Final answer
    x = 278,443.52

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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.