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Finding the Fourth Proportional to 385,711.91, 578,605.93 and 132,959.12

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Solution

The fourth proportional to 385,711.91, 578,605.93 and 132,959.12 is: 199,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,711.91 : 578,605.93 = 132,959.12 : x
  2. Step 2: Convert to fraction form
    385,711.91/578,605.93 = 132,959.12/x
  3. Step 3: Cross multiply
    385,711.91x = 578,605.93 × 132,959.12
  4. Step 4: Simplify right side
    385,711.91x = 76,930,936,643.00
  5. Step 5: Solve for x
    x = 76,930,936,643.00/385,711.91
  6. Step 6: Final answer
    x = 199,451.81

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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.