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Finding the Fourth Proportional to 265,929.48, 398,891.16 and 76,394.50

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Solution

The fourth proportional to 265,929.48, 398,891.16 and 76,394.50 is: 114,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,929.48 : 398,891.16 = 76,394.50 : x
  2. Step 2: Convert to fraction form
    265,929.48/398,891.16 = 76,394.50/x
  3. Step 3: Cross multiply
    265,929.48x = 398,891.16 × 76,394.50
  4. Step 4: Simplify right side
    265,929.48x = 30,473,090,722.62
  5. Step 5: Solve for x
    x = 30,473,090,722.62/265,929.48
  6. Step 6: Final answer
    x = 114,590.87

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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.