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Finding the Fourth Proportional to 265,535.04, 398,302.56 and 78,531.96

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Solution

The fourth proportional to 265,535.04, 398,302.56 and 78,531.96 is: 117,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,535.04 : 398,302.56 = 78,531.96 : x
  2. Step 2: Convert to fraction form
    265,535.04/398,302.56 = 78,531.96/x
  3. Step 3: Cross multiply
    265,535.04x = 398,302.56 × 78,531.96
  4. Step 4: Simplify right side
    265,535.04x = 31,279,480,709.82
  5. Step 5: Solve for x
    x = 31,279,480,709.82/265,535.04
  6. Step 6: Final answer
    x = 117,797.94

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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.