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Finding the Fourth Proportional to 294,998.98, 442,498.74 and 126,409.90

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Solution

The fourth proportional to 294,998.98, 442,498.74 and 126,409.90 is: 189,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,998.98 : 442,498.74 = 126,409.90 : x
  2. Step 2: Convert to fraction form
    294,998.98/442,498.74 = 126,409.90/x
  3. Step 3: Cross multiply
    294,998.98x = 442,498.74 × 126,409.90
  4. Step 4: Simplify right side
    294,998.98x = 55,936,221,473.53
  5. Step 5: Solve for x
    x = 55,936,221,473.53/294,998.98
  6. Step 6: Final answer
    x = 189,614.97

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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.