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Finding the Fourth Proportional to 410,243.73, 615,437.82 and 140,308.41

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Solution

The fourth proportional to 410,243.73, 615,437.82 and 140,308.41 is: 210,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,243.73 : 615,437.82 = 140,308.41 : x
  2. Step 2: Convert to fraction form
    410,243.73/615,437.82 = 140,308.41/x
  3. Step 3: Cross multiply
    410,243.73x = 615,437.82 × 140,308.41
  4. Step 4: Simplify right side
    410,243.73x = 86,351,101,978.07
  5. Step 5: Solve for x
    x = 86,351,101,978.07/410,243.73
  6. Step 6: Final answer
    x = 210,487.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.