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Finding the Fourth Proportional to 397,144.64, 548,057.04 and 227,411.57

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Solution

The fourth proportional to 397,144.64, 548,057.04 and 227,411.57 is: 313,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,144.64 : 548,057.04 = 227,411.57 : x
  2. Step 2: Convert to fraction form
    397,144.64/548,057.04 = 227,411.57/x
  3. Step 3: Cross multiply
    397,144.64x = 548,057.04 × 227,411.57
  4. Step 4: Simplify right side
    397,144.64x = 124,634,509,175.67
  5. Step 5: Solve for x
    x = 124,634,509,175.67/397,144.64
  6. Step 6: Final answer
    x = 313,826.50

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1.5x scale

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.