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Finding the Fourth Proportional to 354,901.32, 489,764.75 and 193,757.69

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Solution

The fourth proportional to 354,901.32, 489,764.75 and 193,757.69 is: 267,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.32 : 489,764.75 = 193,757.69 : x
  2. Step 2: Convert to fraction form
    354,901.32/489,764.75 = 193,757.69/x
  3. Step 3: Cross multiply
    354,901.32x = 489,764.75 × 193,757.69
  4. Step 4: Simplify right side
    354,901.32x = 94,895,686,859.05
  5. Step 5: Solve for x
    x = 94,895,686,859.05/354,901.32
  6. Step 6: Final answer
    x = 267,386.12

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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.