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Finding the Fourth Proportional to 385,713.29, 578,607.99 and 132,960.50

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Solution

The fourth proportional to 385,713.29, 578,607.99 and 132,960.50 is: 199,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,713.29 : 578,607.99 = 132,960.50 : x
  2. Step 2: Convert to fraction form
    385,713.29/578,607.99 = 132,960.50/x
  3. Step 3: Cross multiply
    385,713.29x = 578,607.99 × 132,960.50
  4. Step 4: Simplify right side
    385,713.29x = 76,932,007,654.40
  5. Step 5: Solve for x
    x = 76,932,007,654.40/385,713.29
  6. Step 6: Final answer
    x = 199,453.87

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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.