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Finding the Fourth Proportional to 329,153.79, 493,749.11 and 92,478

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Solution

The fourth proportional to 329,153.79, 493,749.11 and 92,478 is: 138,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,153.79 : 493,749.11 = 92,478 : x
  2. Step 2: Convert to fraction form
    329,153.79/493,749.11 = 92,478/x
  3. Step 3: Cross multiply
    329,153.79x = 493,749.11 × 92,478
  4. Step 4: Simplify right side
    329,153.79x = 45,660,930,194.58
  5. Step 5: Solve for x
    x = 45,660,930,194.58/329,153.79
  6. Step 6: Final answer
    x = 138,722.18

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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.