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Finding the Fourth Proportional to 286,104.16, 394,783.36 and 171,355.92

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Solution

The fourth proportional to 286,104.16, 394,783.36 and 171,355.92 is: 236,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,104.16 : 394,783.36 = 171,355.92 : x
  2. Step 2: Convert to fraction form
    286,104.16/394,783.36 = 171,355.92/x
  3. Step 3: Cross multiply
    286,104.16x = 394,783.36 × 171,355.92
  4. Step 4: Simplify right side
    286,104.16x = 67,648,465,853.49
  5. Step 5: Solve for x
    x = 67,648,465,853.49/286,104.16
  6. Step 6: Final answer
    x = 236,446.98

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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.