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Finding the Fourth Proportional to 342,591.78, 513,921.90 and 117,922.49

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Solution

The fourth proportional to 342,591.78, 513,921.90 and 117,922.49 is: 176,895.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,591.78 : 513,921.90 = 117,922.49 : x
  2. Step 2: Convert to fraction form
    342,591.78/513,921.90 = 117,922.49/x
  3. Step 3: Cross multiply
    342,591.78x = 513,921.90 × 117,922.49
  4. Step 4: Simplify right side
    342,591.78x = 60,602,950,113.53
  5. Step 5: Solve for x
    x = 60,602,950,113.53/342,591.78
  6. Step 6: Final answer
    x = 176,895.52

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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.