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Finding the Fourth Proportional to 393,142.95, 588,850.02 and 324,901.58

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Solution

The fourth proportional to 393,142.95, 588,850.02 and 324,901.58 is: 486,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,142.95 : 588,850.02 = 324,901.58 : x
  2. Step 2: Convert to fraction form
    393,142.95/588,850.02 = 324,901.58/x
  3. Step 3: Cross multiply
    393,142.95x = 588,850.02 × 324,901.58
  4. Step 4: Simplify right side
    393,142.95x = 191,318,298,936.78
  5. Step 5: Solve for x
    x = 191,318,298,936.78/393,142.95
  6. Step 6: Final answer
    x = 486,638.00

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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.