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Finding the Fourth Proportional to 318,587.58, 477,613.52 and 213,084.54

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Solution

The fourth proportional to 318,587.58, 477,613.52 and 213,084.54 is: 319,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,587.58 : 477,613.52 = 213,084.54 : x
  2. Step 2: Convert to fraction form
    318,587.58/477,613.52 = 213,084.54/x
  3. Step 3: Cross multiply
    318,587.58x = 477,613.52 × 213,084.54
  4. Step 4: Simplify right side
    318,587.58x = 101,772,057,206.98
  5. Step 5: Solve for x
    x = 101,772,057,206.98/318,587.58
  6. Step 6: Final answer
    x = 319,447.66

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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.