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Finding the Fourth Proportional to 265,514.70, 398,272.05 and 123,359.70

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Solution

The fourth proportional to 265,514.70, 398,272.05 and 123,359.70 is: 185,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,514.70 : 398,272.05 = 123,359.70 : x
  2. Step 2: Convert to fraction form
    265,514.70/398,272.05 = 123,359.70/x
  3. Step 3: Cross multiply
    265,514.70x = 398,272.05 × 123,359.70
  4. Step 4: Simplify right side
    265,514.70x = 49,130,720,606.39
  5. Step 5: Solve for x
    x = 49,130,720,606.39/265,514.70
  6. Step 6: Final answer
    x = 185,039.55

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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.