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Finding the Fourth Proportional to 405,875.57, 560,070.14 and 274,786.56

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Solution

The fourth proportional to 405,875.57, 560,070.14 and 274,786.56 is: 379,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,875.57 : 560,070.14 = 274,786.56 : x
  2. Step 2: Convert to fraction form
    405,875.57/560,070.14 = 274,786.56/x
  3. Step 3: Cross multiply
    405,875.57x = 560,070.14 × 274,786.56
  4. Step 4: Simplify right side
    405,875.57x = 153,899,745,755.39
  5. Step 5: Solve for x
    x = 153,899,745,755.39/405,875.57
  6. Step 6: Final answer
    x = 379,179.63

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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.