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Finding the Fourth Proportional to 265,187.24, 397,780.38 and 78,329.96

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Solution

The fourth proportional to 265,187.24, 397,780.38 and 78,329.96 is: 117,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,187.24 : 397,780.38 = 78,329.96 : x
  2. Step 2: Convert to fraction form
    265,187.24/397,780.38 = 78,329.96/x
  3. Step 3: Cross multiply
    265,187.24x = 397,780.38 × 78,329.96
  4. Step 4: Simplify right side
    265,187.24x = 31,158,121,254.18
  5. Step 5: Solve for x
    x = 31,158,121,254.18/265,187.24
  6. Step 6: Final answer
    x = 117,494.80

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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.