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Finding the Fourth Proportional to 286,138.17, 394,911.78 and 171,421.74

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Solution

The fourth proportional to 286,138.17, 394,911.78 and 171,421.74 is: 236,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,138.17 : 394,911.78 = 171,421.74 : x
  2. Step 2: Convert to fraction form
    286,138.17/394,911.78 = 171,421.74/x
  3. Step 3: Cross multiply
    286,138.17x = 394,911.78 × 171,421.74
  4. Step 4: Simplify right side
    286,138.17x = 67,696,464,474.10
  5. Step 5: Solve for x
    x = 67,696,464,474.10/286,138.17
  6. Step 6: Final answer
    x = 236,586.63

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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.