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Finding the Fourth Proportional to 275,145.90, 412,718.85 and 157,047.90

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Solution

The fourth proportional to 275,145.90, 412,718.85 and 157,047.90 is: 235,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,145.90 : 412,718.85 = 157,047.90 : x
  2. Step 2: Convert to fraction form
    275,145.90/412,718.85 = 157,047.90/x
  3. Step 3: Cross multiply
    275,145.90x = 412,718.85 × 157,047.90
  4. Step 4: Simplify right side
    275,145.90x = 64,816,628,682.92
  5. Step 5: Solve for x
    x = 64,816,628,682.92/275,145.90
  6. Step 6: Final answer
    x = 235,571.85

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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.