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Finding the Fourth Proportional to 286,008.63, 394,690.81 and 156,949.28

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Solution

The fourth proportional to 286,008.63, 394,690.81 and 156,949.28 is: 216,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.63 : 394,690.81 = 156,949.28 : x
  2. Step 2: Convert to fraction form
    286,008.63/394,690.81 = 156,949.28/x
  3. Step 3: Cross multiply
    286,008.63x = 394,690.81 × 156,949.28
  4. Step 4: Simplify right side
    286,008.63x = 61,946,437,860.66
  5. Step 5: Solve for x
    x = 61,946,437,860.66/286,008.63
  6. Step 6: Final answer
    x = 216,589.40

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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.