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Finding the Fourth Proportional to 274,658.80, 412,295.40 and 256,610.80

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Solution

The fourth proportional to 274,658.80, 412,295.40 and 256,610.80 is: 385,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,658.80 : 412,295.40 = 256,610.80 : x
  2. Step 2: Convert to fraction form
    274,658.80/412,295.40 = 256,610.80/x
  3. Step 3: Cross multiply
    274,658.80x = 412,295.40 × 256,610.80
  4. Step 4: Simplify right side
    274,658.80x = 105,799,452,430.32
  5. Step 5: Solve for x
    x = 105,799,452,430.32/274,658.80
  6. Step 6: Final answer
    x = 385,203.21

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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.