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Finding the Fourth Proportional to 283,257.41, 390,886.56 and 155,932.02

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Solution

The fourth proportional to 283,257.41, 390,886.56 and 155,932.02 is: 215,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,257.41 : 390,886.56 = 155,932.02 : x
  2. Step 2: Convert to fraction form
    283,257.41/390,886.56 = 155,932.02/x
  3. Step 3: Cross multiply
    283,257.41x = 390,886.56 × 155,932.02
  4. Step 4: Simplify right side
    283,257.41x = 60,951,730,891.65
  5. Step 5: Solve for x
    x = 60,951,730,891.65/283,257.41
  6. Step 6: Final answer
    x = 215,181.42

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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.