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Finding the Fourth Proportional to 286,008.87, 394,716.75 and 156,972.28

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Solution

The fourth proportional to 286,008.87, 394,716.75 and 156,972.28 is: 216,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.87 : 394,716.75 = 156,972.28 : x
  2. Step 2: Convert to fraction form
    286,008.87/394,716.75 = 156,972.28/x
  3. Step 3: Cross multiply
    286,008.87x = 394,716.75 × 156,972.28
  4. Step 4: Simplify right side
    286,008.87x = 61,959,588,201.69
  5. Step 5: Solve for x
    x = 61,959,588,201.69/286,008.87
  6. Step 6: Final answer
    x = 216,635.20

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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.