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Finding the Fourth Proportional to 274,302.20, 411,050.75 and 154,592.20

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Solution

The fourth proportional to 274,302.20, 411,050.75 and 154,592.20 is: 231,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302.20 : 411,050.75 = 154,592.20 : x
  2. Step 2: Convert to fraction form
    274,302.20/411,050.75 = 154,592.20/x
  3. Step 3: Cross multiply
    274,302.20x = 411,050.75 × 154,592.20
  4. Step 4: Simplify right side
    274,302.20x = 63,545,238,052.42
  5. Step 5: Solve for x
    x = 63,545,238,052.42/274,302.20
  6. Step 6: Final answer
    x = 231,661.43

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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.