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Finding the Fourth Proportional to 286,446.78, 429,680.97 and 108,920.70

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Solution

The fourth proportional to 286,446.78, 429,680.97 and 108,920.70 is: 163,385.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,446.78 : 429,680.97 = 108,920.70 : x
  2. Step 2: Convert to fraction form
    286,446.78/429,680.97 = 108,920.70/x
  3. Step 3: Cross multiply
    286,446.78x = 429,680.97 × 108,920.70
  4. Step 4: Simplify right side
    286,446.78x = 46,801,152,029.08
  5. Step 5: Solve for x
    x = 46,801,152,029.08/286,446.78
  6. Step 6: Final answer
    x = 163,385.16

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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.