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Finding the Fourth Proportional to 318,902.40, 477,763.20 and 185,846.40

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Solution

The fourth proportional to 318,902.40, 477,763.20 and 185,846.40 is: 278,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,902.40 : 477,763.20 = 185,846.40 : x
  2. Step 2: Convert to fraction form
    318,902.40/477,763.20 = 185,846.40/x
  3. Step 3: Cross multiply
    318,902.40x = 477,763.20 × 185,846.40
  4. Step 4: Simplify right side
    318,902.40x = 88,790,570,772.48
  5. Step 5: Solve for x
    x = 88,790,570,772.48/318,902.40
  6. Step 6: Final answer
    x = 278,425.53

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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.