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Finding the Fourth Proportional to 263,592.79, 363,759.78 and 142,734.09

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Solution

The fourth proportional to 263,592.79, 363,759.78 and 142,734.09 is: 196,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,592.79 : 363,759.78 = 142,734.09 : x
  2. Step 2: Convert to fraction form
    263,592.79/363,759.78 = 142,734.09/x
  3. Step 3: Cross multiply
    263,592.79x = 363,759.78 × 142,734.09
  4. Step 4: Simplify right side
    263,592.79x = 51,920,919,441.28
  5. Step 5: Solve for x
    x = 51,920,919,441.28/263,592.79
  6. Step 6: Final answer
    x = 196,973.98

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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.