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Finding the Fourth Proportional to 286,099.68, 394,726.32 and 165,225

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Solution

The fourth proportional to 286,099.68, 394,726.32 and 165,225 is: 227,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,099.68 : 394,726.32 = 165,225 : x
  2. Step 2: Convert to fraction form
    286,099.68/394,726.32 = 165,225/x
  3. Step 3: Cross multiply
    286,099.68x = 394,726.32 × 165,225
  4. Step 4: Simplify right side
    286,099.68x = 65,218,656,222
  5. Step 5: Solve for x
    x = 65,218,656,222/286,099.68
  6. Step 6: Final answer
    x = 227,957.81

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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.