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Finding the Fourth Proportional to 384,178.92, 576,354 and 117,962.64

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Solution

The fourth proportional to 384,178.92, 576,354 and 117,962.64 is: 176,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,178.92 : 576,354 = 117,962.64 : x
  2. Step 2: Convert to fraction form
    384,178.92/576,354 = 117,962.64/x
  3. Step 3: Cross multiply
    384,178.92x = 576,354 × 117,962.64
  4. Step 4: Simplify right side
    384,178.92x = 67,988,239,414.56
  5. Step 5: Solve for x
    x = 67,988,239,414.56/384,178.92
  6. Step 6: Final answer
    x = 176,970.25

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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.