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Finding the Fourth Proportional to 279,974.92, 386,356.98 and 152,653

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Solution

The fourth proportional to 279,974.92, 386,356.98 and 152,653 is: 210,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,974.92 : 386,356.98 = 152,653 : x
  2. Step 2: Convert to fraction form
    279,974.92/386,356.98 = 152,653/x
  3. Step 3: Cross multiply
    279,974.92x = 386,356.98 × 152,653
  4. Step 4: Simplify right side
    279,974.92x = 58,978,552,067.94
  5. Step 5: Solve for x
    x = 58,978,552,067.94/279,974.92
  6. Step 6: Final answer
    x = 210,656.55

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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.