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Finding the Fourth Proportional to 418,422.40, 627,280.86 and 181,586.68

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Solution

The fourth proportional to 418,422.40, 627,280.86 and 181,586.68 is: 272,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,422.40 : 627,280.86 = 181,586.68 : x
  2. Step 2: Convert to fraction form
    418,422.40/627,280.86 = 181,586.68/x
  3. Step 3: Cross multiply
    418,422.40x = 627,280.86 × 181,586.68
  4. Step 4: Simplify right side
    418,422.40x = 113,905,848,794.95
  5. Step 5: Solve for x
    x = 113,905,848,794.95/418,422.40
  6. Step 6: Final answer
    x = 272,226.94

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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.