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Finding the Fourth Proportional to 279,414.49, 419,184.23 and 101,921.51

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Solution

The fourth proportional to 279,414.49, 419,184.23 and 101,921.51 is: 152,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,414.49 : 419,184.23 = 101,921.51 : x
  2. Step 2: Convert to fraction form
    279,414.49/419,184.23 = 101,921.51/x
  3. Step 3: Cross multiply
    279,414.49x = 419,184.23 × 101,921.51
  4. Step 4: Simplify right side
    279,414.49x = 42,723,889,689.79
  5. Step 5: Solve for x
    x = 42,723,889,689.79/279,414.49
  6. Step 6: Final answer
    x = 152,905.06

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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.