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Finding the Fourth Proportional to 286,008.48, 394,690.62 and 156,949.12

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Solution

The fourth proportional to 286,008.48, 394,690.62 and 156,949.12 is: 216,589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,008.48 : 394,690.62 = 156,949.12 : x
  2. Step 2: Convert to fraction form
    286,008.48/394,690.62 = 156,949.12/x
  3. Step 3: Cross multiply
    286,008.48x = 394,690.62 × 156,949.12
  4. Step 4: Simplify right side
    286,008.48x = 61,946,347,014.14
  5. Step 5: Solve for x
    x = 61,946,347,014.14/286,008.48
  6. Step 6: Final answer
    x = 216,589.20

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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.