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Finding the Fourth Proportional to 265,534.04, 398,301.06 and 78,530.96

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Solution

The fourth proportional to 265,534.04, 398,301.06 and 78,530.96 is: 117,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,534.04 : 398,301.06 = 78,530.96 : x
  2. Step 2: Convert to fraction form
    265,534.04/398,301.06 = 78,530.96/x
  3. Step 3: Cross multiply
    265,534.04x = 398,301.06 × 78,530.96
  4. Step 4: Simplify right side
    265,534.04x = 31,278,964,610.82
  5. Step 5: Solve for x
    x = 31,278,964,610.82/265,534.04
  6. Step 6: Final answer
    x = 117,796.44

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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.