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Finding the Fourth Proportional to 274,657.80, 412,293.90 and 256,609.80

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Solution

The fourth proportional to 274,657.80, 412,293.90 and 256,609.80 is: 385,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,657.80 : 412,293.90 = 256,609.80 : x
  2. Step 2: Convert to fraction form
    274,657.80/412,293.90 = 256,609.80/x
  3. Step 3: Cross multiply
    274,657.80x = 412,293.90 × 256,609.80
  4. Step 4: Simplify right side
    274,657.80x = 105,798,655,220.22
  5. Step 5: Solve for x
    x = 105,798,655,220.22/274,657.80
  6. Step 6: Final answer
    x = 385,201.71

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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.