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Finding the Fourth Proportional to 265,623.60, 398,493.72 and 78,649.68

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Solution

The fourth proportional to 265,623.60, 398,493.72 and 78,649.68 is: 117,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,623.60 : 398,493.72 = 78,649.68 : x
  2. Step 2: Convert to fraction form
    265,623.60/398,493.72 = 78,649.68/x
  3. Step 3: Cross multiply
    265,623.60x = 398,493.72 × 78,649.68
  4. Step 4: Simplify right side
    265,623.60x = 31,341,403,560.01
  5. Step 5: Solve for x
    x = 31,341,403,560.01/265,623.60
  6. Step 6: Final answer
    x = 117,991.79

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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.