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Finding the Fourth Proportional to 279,702.64, 419,036.10 and 216,298

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Solution

The fourth proportional to 279,702.64, 419,036.10 and 216,298 is: 324,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,702.64 : 419,036.10 = 216,298 : x
  2. Step 2: Convert to fraction form
    279,702.64/419,036.10 = 216,298/x
  3. Step 3: Cross multiply
    279,702.64x = 419,036.10 × 216,298
  4. Step 4: Simplify right side
    279,702.64x = 90,636,670,357.80
  5. Step 5: Solve for x
    x = 90,636,670,357.80/279,702.64
  6. Step 6: Final answer
    x = 324,046.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.