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Finding the Fourth Proportional to 260,262.85, 390,426.41 and 127,042.43

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Solution

The fourth proportional to 260,262.85, 390,426.41 and 127,042.43 is: 190,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,262.85 : 390,426.41 = 127,042.43 : x
  2. Step 2: Convert to fraction form
    260,262.85/390,426.41 = 127,042.43/x
  3. Step 3: Cross multiply
    260,262.85x = 390,426.41 × 127,042.43
  4. Step 4: Simplify right side
    260,262.85x = 49,600,719,227.36
  5. Step 5: Solve for x
    x = 49,600,719,227.36/260,262.85
  6. Step 6: Final answer
    x = 190,579.33

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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.