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Finding the Fourth Proportional to 286,068.70, 394,730.17 and 165,186.73

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Solution

The fourth proportional to 286,068.70, 394,730.17 and 165,186.73 is: 227,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,068.70 : 394,730.17 = 165,186.73 : x
  2. Step 2: Convert to fraction form
    286,068.70/394,730.17 = 165,186.73/x
  3. Step 3: Cross multiply
    286,068.70x = 394,730.17 × 165,186.73
  4. Step 4: Simplify right side
    286,068.70x = 65,204,186,014.64
  5. Step 5: Solve for x
    x = 65,204,186,014.64/286,068.70
  6. Step 6: Final answer
    x = 227,931.91

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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.