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Finding the Fourth Proportional to 279,702.49, 419,678.24 and 146,551.63

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Solution

The fourth proportional to 279,702.49, 419,678.24 and 146,551.63 is: 219,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,702.49 : 419,678.24 = 146,551.63 : x
  2. Step 2: Convert to fraction form
    279,702.49/419,678.24 = 146,551.63/x
  3. Step 3: Cross multiply
    279,702.49x = 419,678.24 × 146,551.63
  4. Step 4: Simplify right side
    279,702.49x = 61,504,529,564.65
  5. Step 5: Solve for x
    x = 61,504,529,564.65/279,702.49
  6. Step 6: Final answer
    x = 219,892.68

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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.