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Finding the Fourth Proportional to 265,175.81, 397,789.64 and 78,240.77

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Solution

The fourth proportional to 265,175.81, 397,789.64 and 78,240.77 is: 117,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,175.81 : 397,789.64 = 78,240.77 : x
  2. Step 2: Convert to fraction form
    265,175.81/397,789.64 = 78,240.77/x
  3. Step 3: Cross multiply
    265,175.81x = 397,789.64 × 78,240.77
  4. Step 4: Simplify right side
    265,175.81x = 31,123,367,340.42
  5. Step 5: Solve for x
    x = 31,123,367,340.42/265,175.81
  6. Step 6: Final answer
    x = 117,368.80

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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.