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Finding the Fourth Proportional to 414,987.30, 622,772.55 and 265,590.90

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Solution

The fourth proportional to 414,987.30, 622,772.55 and 265,590.90 is: 398,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,987.30 : 622,772.55 = 265,590.90 : x
  2. Step 2: Convert to fraction form
    414,987.30/622,772.55 = 265,590.90/x
  3. Step 3: Cross multiply
    414,987.30x = 622,772.55 × 265,590.90
  4. Step 4: Simplify right side
    414,987.30x = 165,402,722,049.80
  5. Step 5: Solve for x
    x = 165,402,722,049.80/414,987.30
  6. Step 6: Final answer
    x = 398,572.97

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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.