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Finding the Fourth Proportional to 265,261.21, 397,964.67 and 78,272.71

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Solution

The fourth proportional to 265,261.21, 397,964.67 and 78,272.71 is: 117,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,261.21 : 397,964.67 = 78,272.71 : x
  2. Step 2: Convert to fraction form
    265,261.21/397,964.67 = 78,272.71/x
  3. Step 3: Cross multiply
    265,261.21x = 397,964.67 × 78,272.71
  4. Step 4: Simplify right side
    265,261.21x = 31,149,773,205.16
  5. Step 5: Solve for x
    x = 31,149,773,205.16/265,261.21
  6. Step 6: Final answer
    x = 117,430.56

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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.