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Finding the Fourth Proportional to 318,903.40, 477,764.70 and 185,847.40

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Solution

The fourth proportional to 318,903.40, 477,764.70 and 185,847.40 is: 278,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,903.40 : 477,764.70 = 185,847.40 : x
  2. Step 2: Convert to fraction form
    318,903.40/477,764.70 = 185,847.40/x
  3. Step 3: Cross multiply
    318,903.40x = 477,764.70 × 185,847.40
  4. Step 4: Simplify right side
    318,903.40x = 88,791,327,306.78
  5. Step 5: Solve for x
    x = 88,791,327,306.78/318,903.40
  6. Step 6: Final answer
    x = 278,427.03

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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.