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Finding the Fourth Proportional to 283,101.85, 390,691.33 and 162,266.45

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Solution

The fourth proportional to 283,101.85, 390,691.33 and 162,266.45 is: 223,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,101.85 : 390,691.33 = 162,266.45 : x
  2. Step 2: Convert to fraction form
    283,101.85/390,691.33 = 162,266.45/x
  3. Step 3: Cross multiply
    283,101.85x = 390,691.33 × 162,266.45
  4. Step 4: Simplify right side
    283,101.85x = 63,396,095,164.88
  5. Step 5: Solve for x
    x = 63,396,095,164.88/283,101.85
  6. Step 6: Final answer
    x = 223,933.88

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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.