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Finding the Fourth Proportional to 385,711.86, 578,605.86 and 132,959.08

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Solution

The fourth proportional to 385,711.86, 578,605.86 and 132,959.08 is: 199,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,711.86 : 578,605.86 = 132,959.08 : x
  2. Step 2: Convert to fraction form
    385,711.86/578,605.86 = 132,959.08/x
  3. Step 3: Cross multiply
    385,711.86x = 578,605.86 × 132,959.08
  4. Step 4: Simplify right side
    385,711.86x = 76,930,900,296.81
  5. Step 5: Solve for x
    x = 76,930,900,296.81/385,711.86
  6. Step 6: Final answer
    x = 199,451.74

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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.