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Finding the Fourth Proportional to 318,745.67, 477,966.02 and 185,663.88

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Solution

The fourth proportional to 318,745.67, 477,966.02 and 185,663.88 is: 278,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,745.67 : 477,966.02 = 185,663.88 : x
  2. Step 2: Convert to fraction form
    318,745.67/477,966.02 = 185,663.88/x
  3. Step 3: Cross multiply
    318,745.67x = 477,966.02 × 185,663.88
  4. Step 4: Simplify right side
    318,745.67x = 88,741,024,853.04
  5. Step 5: Solve for x
    x = 88,741,024,853.04/318,745.67
  6. Step 6: Final answer
    x = 278,407.00

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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.