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Finding the Fourth Proportional to 405,869.27, 560,061.46 and 274,780.27

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Solution

The fourth proportional to 405,869.27, 560,061.46 and 274,780.27 is: 379,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,869.27 : 560,061.46 = 274,780.27 : x
  2. Step 2: Convert to fraction form
    405,869.27/560,061.46 = 274,780.27/x
  3. Step 3: Cross multiply
    405,869.27x = 560,061.46 × 274,780.27
  4. Step 4: Simplify right side
    405,869.27x = 153,893,842,586.94
  5. Step 5: Solve for x
    x = 153,893,842,586.94/405,869.27
  6. Step 6: Final answer
    x = 379,170.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.