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Finding the Fourth Proportional to 341,780.40, 512,694.90 and 105,122.70

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Solution

The fourth proportional to 341,780.40, 512,694.90 and 105,122.70 is: 157,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,780.40 : 512,694.90 = 105,122.70 : x
  2. Step 2: Convert to fraction form
    341,780.40/512,694.90 = 105,122.70/x
  3. Step 3: Cross multiply
    341,780.40x = 512,694.90 × 105,122.70
  4. Step 4: Simplify right side
    341,780.40x = 53,895,872,164.23
  5. Step 5: Solve for x
    x = 53,895,872,164.23/341,780.40
  6. Step 6: Final answer
    x = 157,691.52

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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.