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Finding the Fourth Proportional to 384,081.40, 576,165.30 and 117,839.80

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Solution

The fourth proportional to 384,081.40, 576,165.30 and 117,839.80 is: 176,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,081.40 : 576,165.30 = 117,839.80 : x
  2. Step 2: Convert to fraction form
    384,081.40/576,165.30 = 117,839.80/x
  3. Step 3: Cross multiply
    384,081.40x = 576,165.30 × 117,839.80
  4. Step 4: Simplify right side
    384,081.40x = 67,895,203,718.94
  5. Step 5: Solve for x
    x = 67,895,203,718.94/384,081.40
  6. Step 6: Final answer
    x = 176,772.95

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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.