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Finding the Fourth Proportional to 265,300.38, 397,993.77 and 78,330.78

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Solution

The fourth proportional to 265,300.38, 397,993.77 and 78,330.78 is: 117,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,300.38 : 397,993.77 = 78,330.78 : x
  2. Step 2: Convert to fraction form
    265,300.38/397,993.77 = 78,330.78/x
  3. Step 3: Cross multiply
    265,300.38x = 397,993.77 × 78,330.78
  4. Step 4: Simplify right side
    265,300.38x = 31,175,162,439.24
  5. Step 5: Solve for x
    x = 31,175,162,439.24/265,300.38
  6. Step 6: Final answer
    x = 117,508.92

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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.