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Finding the Fourth Proportional to 421,589.59, 582,034.35 and 278,763.91

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Solution

The fourth proportional to 421,589.59, 582,034.35 and 278,763.91 is: 384,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,589.59 : 582,034.35 = 278,763.91 : x
  2. Step 2: Convert to fraction form
    421,589.59/582,034.35 = 278,763.91/x
  3. Step 3: Cross multiply
    421,589.59x = 582,034.35 × 278,763.91
  4. Step 4: Simplify right side
    421,589.59x = 162,250,171,160.31
  5. Step 5: Solve for x
    x = 162,250,171,160.31/421,589.59
  6. Step 6: Final answer
    x = 384,853.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.