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Finding the Fourth Proportional to 643,435.90, 965,129.58 and 194,144.78

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Solution

The fourth proportional to 643,435.90, 965,129.58 and 194,144.78 is: 291,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,435.90 : 965,129.58 = 194,144.78 : x
  2. Step 2: Convert to fraction form
    643,435.90/965,129.58 = 194,144.78/x
  3. Step 3: Cross multiply
    643,435.90x = 965,129.58 × 194,144.78
  4. Step 4: Simplify right side
    643,435.90x = 187,374,872,393.42
  5. Step 5: Solve for x
    x = 187,374,872,393.42/643,435.90
  6. Step 6: Final answer
    x = 291,209.85

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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.