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Finding the Fourth Proportional to 318,742.80, 477,892.80 and 141,153

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Solution

The fourth proportional to 318,742.80, 477,892.80 and 141,153 is: 211,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,742.80 : 477,892.80 = 141,153 : x
  2. Step 2: Convert to fraction form
    318,742.80/477,892.80 = 141,153/x
  3. Step 3: Cross multiply
    318,742.80x = 477,892.80 × 141,153
  4. Step 4: Simplify right side
    318,742.80x = 67,456,002,398.40
  5. Step 5: Solve for x
    x = 67,456,002,398.40/318,742.80
  6. Step 6: Final answer
    x = 211,631.45

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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.