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Finding the Fourth Proportional to 288,163.05, 397,665.47 and 160,838.61

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Solution

The fourth proportional to 288,163.05, 397,665.47 and 160,838.61 is: 221,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,163.05 : 397,665.47 = 160,838.61 : x
  2. Step 2: Convert to fraction form
    288,163.05/397,665.47 = 160,838.61/x
  3. Step 3: Cross multiply
    288,163.05x = 397,665.47 × 160,838.61
  4. Step 4: Simplify right side
    288,163.05x = 63,959,961,439.80
  5. Step 5: Solve for x
    x = 63,959,961,439.80/288,163.05
  6. Step 6: Final answer
    x = 221,957.54

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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.