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Finding the Fourth Proportional to 265,342.68, 398,206.40 and 198,961.56

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Solution

The fourth proportional to 265,342.68, 398,206.40 and 198,961.56 is: 298,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,342.68 : 398,206.40 = 198,961.56 : x
  2. Step 2: Convert to fraction form
    265,342.68/398,206.40 = 198,961.56/x
  3. Step 3: Cross multiply
    265,342.68x = 398,206.40 × 198,961.56
  4. Step 4: Simplify right side
    265,342.68x = 79,227,765,551.18
  5. Step 5: Solve for x
    x = 79,227,765,551.18/265,342.68
  6. Step 6: Final answer
    x = 298,586.59

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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.