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Finding the Fourth Proportional to 283,159.78, 390,768.24 and 155,843.17

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Solution

The fourth proportional to 283,159.78, 390,768.24 and 155,843.17 is: 215,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,159.78 : 390,768.24 = 155,843.17 : x
  2. Step 2: Convert to fraction form
    283,159.78/390,768.24 = 155,843.17/x
  3. Step 3: Cross multiply
    283,159.78x = 390,768.24 × 155,843.17
  4. Step 4: Simplify right side
    283,159.78x = 60,898,561,256.92
  5. Step 5: Solve for x
    x = 60,898,561,256.92/283,159.78
  6. Step 6: Final answer
    x = 215,067.84

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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.