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Finding the Fourth Proportional to 285,808.21, 394,386.90 and 164,988.42

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Solution

The fourth proportional to 285,808.21, 394,386.90 and 164,988.42 is: 227,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808.21 : 394,386.90 = 164,988.42 : x
  2. Step 2: Convert to fraction form
    285,808.21/394,386.90 = 164,988.42/x
  3. Step 3: Cross multiply
    285,808.21x = 394,386.90 × 164,988.42
  4. Step 4: Simplify right side
    285,808.21x = 65,069,271,499.70
  5. Step 5: Solve for x
    x = 65,069,271,499.70/285,808.21
  6. Step 6: Final answer
    x = 227,667.61

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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.