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Finding the Fourth Proportional to 276,297, 414,445.50 and 89,308.50

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Solution

The fourth proportional to 276,297, 414,445.50 and 89,308.50 is: 133,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,297 : 414,445.50 = 89,308.50 : x
  2. Step 2: Convert to fraction form
    276,297/414,445.50 = 89,308.50/x
  3. Step 3: Cross multiply
    276,297x = 414,445.50 × 89,308.50
  4. Step 4: Simplify right side
    276,297x = 37,013,505,936.75
  5. Step 5: Solve for x
    x = 37,013,505,936.75/276,297
  6. Step 6: Final answer
    x = 133,962.75

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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.