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Finding the Fourth Proportional to 274,656.80, 412,292.40 and 256,608.80

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Solution

The fourth proportional to 274,656.80, 412,292.40 and 256,608.80 is: 385,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656.80 : 412,292.40 = 256,608.80 : x
  2. Step 2: Convert to fraction form
    274,656.80/412,292.40 = 256,608.80/x
  3. Step 3: Cross multiply
    274,656.80x = 412,292.40 × 256,608.80
  4. Step 4: Simplify right side
    274,656.80x = 105,797,858,013.12
  5. Step 5: Solve for x
    x = 105,797,858,013.12/274,656.80
  6. Step 6: Final answer
    x = 385,200.21

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1.5x scale

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.