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Finding the Fourth Proportional to 461,101.24, 636,223.47 and 279,908.56

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Solution

The fourth proportional to 461,101.24, 636,223.47 and 279,908.56 is: 386,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,101.24 : 636,223.47 = 279,908.56 : x
  2. Step 2: Convert to fraction form
    461,101.24/636,223.47 = 279,908.56/x
  3. Step 3: Cross multiply
    461,101.24x = 636,223.47 × 279,908.56
  4. Step 4: Simplify right side
    461,101.24x = 178,084,395,325.90
  5. Step 5: Solve for x
    x = 178,084,395,325.90/461,101.24
  6. Step 6: Final answer
    x = 386,215.39

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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.