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Finding the Fourth Proportional to 279,920.94, 419,868.66 and 90,390.06

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Solution

The fourth proportional to 279,920.94, 419,868.66 and 90,390.06 is: 135,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,920.94 : 419,868.66 = 90,390.06 : x
  2. Step 2: Convert to fraction form
    279,920.94/419,868.66 = 90,390.06/x
  3. Step 3: Cross multiply
    279,920.94x = 419,868.66 × 90,390.06
  4. Step 4: Simplify right side
    279,920.94x = 37,951,953,369.52
  5. Step 5: Solve for x
    x = 37,951,953,369.52/279,920.94
  6. Step 6: Final answer
    x = 135,580.97

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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.