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Finding the Fourth Proportional to 274,669.68, 411,900.84 and 126,822

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Solution

The fourth proportional to 274,669.68, 411,900.84 and 126,822 is: 190,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,669.68 : 411,900.84 = 126,822 : x
  2. Step 2: Convert to fraction form
    274,669.68/411,900.84 = 126,822/x
  3. Step 3: Cross multiply
    274,669.68x = 411,900.84 × 126,822
  4. Step 4: Simplify right side
    274,669.68x = 52,238,088,330.48
  5. Step 5: Solve for x
    x = 52,238,088,330.48/274,669.68
  6. Step 6: Final answer
    x = 190,185.13

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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.