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Finding the Fourth Proportional to 384,099.40, 576,192.30 and 117,857.80

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Solution

The fourth proportional to 384,099.40, 576,192.30 and 117,857.80 is: 176,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,099.40 : 576,192.30 = 117,857.80 : x
  2. Step 2: Convert to fraction form
    384,099.40/576,192.30 = 117,857.80/x
  3. Step 3: Cross multiply
    384,099.40x = 576,192.30 × 117,857.80
  4. Step 4: Simplify right side
    384,099.40x = 67,908,756,854.94
  5. Step 5: Solve for x
    x = 67,908,756,854.94/384,099.40
  6. Step 6: Final answer
    x = 176,799.96

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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.