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Finding the Fourth Proportional to 274,258.90, 411,431.55 and 87,289.30

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Solution

The fourth proportional to 274,258.90, 411,431.55 and 87,289.30 is: 130,947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,258.90 : 411,431.55 = 87,289.30 : x
  2. Step 2: Convert to fraction form
    274,258.90/411,431.55 = 87,289.30/x
  3. Step 3: Cross multiply
    274,258.90x = 411,431.55 × 87,289.30
  4. Step 4: Simplify right side
    274,258.90x = 35,913,571,997.42
  5. Step 5: Solve for x
    x = 35,913,571,997.42/274,258.90
  6. Step 6: Final answer
    x = 130,947.70

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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.