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Finding the Fourth Proportional to 279,410.49, 419,178.23 and 101,917.51

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Solution

The fourth proportional to 279,410.49, 419,178.23 and 101,917.51 is: 152,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,410.49 : 419,178.23 = 101,917.51 : x
  2. Step 2: Convert to fraction form
    279,410.49/419,178.23 = 101,917.51/x
  3. Step 3: Cross multiply
    279,410.49x = 419,178.23 × 101,917.51
  4. Step 4: Simplify right side
    279,410.49x = 42,721,600,272.46
  5. Step 5: Solve for x
    x = 42,721,600,272.46/279,410.49
  6. Step 6: Final answer
    x = 152,899.06

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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.