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Finding the Fourth Proportional to 263,689.36, 363,891.15 and 142,830.34

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Solution

The fourth proportional to 263,689.36, 363,891.15 and 142,830.34 is: 197,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,689.36 : 363,891.15 = 142,830.34 : x
  2. Step 2: Convert to fraction form
    263,689.36/363,891.15 = 142,830.34/x
  3. Step 3: Cross multiply
    263,689.36x = 363,891.15 × 142,830.34
  4. Step 4: Simplify right side
    263,689.36x = 51,974,695,767.76
  5. Step 5: Solve for x
    x = 51,974,695,767.76/263,689.36
  6. Step 6: Final answer
    x = 197,105.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.