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Finding the Fourth Proportional to 318,410.32, 477,221.82 and 160,683.88

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Solution

The fourth proportional to 318,410.32, 477,221.82 and 160,683.88 is: 240,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,410.32 : 477,221.82 = 160,683.88 : x
  2. Step 2: Convert to fraction form
    318,410.32/477,221.82 = 160,683.88/x
  3. Step 3: Cross multiply
    318,410.32x = 477,221.82 × 160,683.88
  4. Step 4: Simplify right side
    318,410.32x = 76,681,853,658.26
  5. Step 5: Solve for x
    x = 76,681,853,658.26/318,410.32
  6. Step 6: Final answer
    x = 240,827.16

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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.