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Finding the Fourth Proportional to 318,117.34, 477,171.80 and 78,233.31

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Solution

The fourth proportional to 318,117.34, 477,171.80 and 78,233.31 is: 117,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,117.34 : 477,171.80 = 78,233.31 : x
  2. Step 2: Convert to fraction form
    318,117.34/477,171.80 = 78,233.31/x
  3. Step 3: Cross multiply
    318,117.34x = 477,171.80 × 78,233.31
  4. Step 4: Simplify right side
    318,117.34x = 37,330,726,575.63
  5. Step 5: Solve for x
    x = 37,330,726,575.63/318,117.34
  6. Step 6: Final answer
    x = 117,348.92

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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.