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Finding the Fourth Proportional to 384,105.90, 576,202.05 and 117,864.30

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Solution

The fourth proportional to 384,105.90, 576,202.05 and 117,864.30 is: 176,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,105.90 : 576,202.05 = 117,864.30 : x
  2. Step 2: Convert to fraction form
    384,105.90/576,202.05 = 117,864.30/x
  3. Step 3: Cross multiply
    384,105.90x = 576,202.05 × 117,864.30
  4. Step 4: Simplify right side
    384,105.90x = 67,913,651,281.82
  5. Step 5: Solve for x
    x = 67,913,651,281.82/384,105.90
  6. Step 6: Final answer
    x = 176,809.71

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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.