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Finding the Fourth Proportional to 283,121.29, 390,691.14 and 155,796.88

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Solution

The fourth proportional to 283,121.29, 390,691.14 and 155,796.88 is: 214,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,121.29 : 390,691.14 = 155,796.88 : x
  2. Step 2: Convert to fraction form
    283,121.29/390,691.14 = 155,796.88/x
  3. Step 3: Cross multiply
    283,121.29x = 390,691.14 × 155,796.88
  4. Step 4: Simplify right side
    283,121.29x = 60,868,460,655.64
  5. Step 5: Solve for x
    x = 60,868,460,655.64/283,121.29
  6. Step 6: Final answer
    x = 214,990.76

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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.