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Finding the Fourth Proportional to 318,514.56, 477,610.64 and 141,076

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Solution

The fourth proportional to 318,514.56, 477,610.64 and 141,076 is: 211,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,514.56 : 477,610.64 = 141,076 : x
  2. Step 2: Convert to fraction form
    318,514.56/477,610.64 = 141,076/x
  3. Step 3: Cross multiply
    318,514.56x = 477,610.64 × 141,076
  4. Step 4: Simplify right side
    318,514.56x = 67,379,398,648.64
  5. Step 5: Solve for x
    x = 67,379,398,648.64/318,514.56
  6. Step 6: Final answer
    x = 211,542.60

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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.