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Finding the Fourth Proportional to 286,016.34, 394,702.61 and 158,691.63

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Solution

The fourth proportional to 286,016.34, 394,702.61 and 158,691.63 is: 218,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,016.34 : 394,702.61 = 158,691.63 : x
  2. Step 2: Convert to fraction form
    286,016.34/394,702.61 = 158,691.63/x
  3. Step 3: Cross multiply
    286,016.34x = 394,702.61 × 158,691.63
  4. Step 4: Simplify right side
    286,016.34x = 62,636,000,546.15
  5. Step 5: Solve for x
    x = 62,636,000,546.15/286,016.34
  6. Step 6: Final answer
    x = 218,994.48

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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.