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Finding the Fourth Proportional to 421,668.68, 582,143.28 and 278,843

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Solution

The fourth proportional to 421,668.68, 582,143.28 and 278,843 is: 384,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,668.68 : 582,143.28 = 278,843 : x
  2. Step 2: Convert to fraction form
    421,668.68/582,143.28 = 278,843/x
  3. Step 3: Cross multiply
    421,668.68x = 582,143.28 × 278,843
  4. Step 4: Simplify right side
    421,668.68x = 162,326,578,625.04
  5. Step 5: Solve for x
    x = 162,326,578,625.04/421,668.68
  6. Step 6: Final answer
    x = 384,962.38

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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.