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Finding the Fourth Proportional to 279,411.49, 419,179.73 and 101,918.51

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Solution

The fourth proportional to 279,411.49, 419,179.73 and 101,918.51 is: 152,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,411.49 : 419,179.73 = 101,918.51 : x
  2. Step 2: Convert to fraction form
    279,411.49/419,179.73 = 101,918.51/x
  3. Step 3: Cross multiply
    279,411.49x = 419,179.73 × 101,918.51
  4. Step 4: Simplify right side
    279,411.49x = 42,722,173,503.80
  5. Step 5: Solve for x
    x = 42,722,173,503.80/279,411.49
  6. Step 6: Final answer
    x = 152,900.56

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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.