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Finding the Fourth Proportional to 318,643.20, 477,849.60 and 160,819.20

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Solution

The fourth proportional to 318,643.20, 477,849.60 and 160,819.20 is: 241,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,643.20 : 477,849.60 = 160,819.20 : x
  2. Step 2: Convert to fraction form
    318,643.20/477,849.60 = 160,819.20/x
  3. Step 3: Cross multiply
    318,643.20x = 477,849.60 × 160,819.20
  4. Step 4: Simplify right side
    318,643.20x = 76,847,390,392.32
  5. Step 5: Solve for x
    x = 76,847,390,392.32/318,643.20
  6. Step 6: Final answer
    x = 241,170.66

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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.