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Finding the Fourth Proportional to 276,847.52, 415,280.25 and 87,309.72

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Solution

The fourth proportional to 276,847.52, 415,280.25 and 87,309.72 is: 130,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,847.52 : 415,280.25 = 87,309.72 : x
  2. Step 2: Convert to fraction form
    276,847.52/415,280.25 = 87,309.72/x
  3. Step 3: Cross multiply
    276,847.52x = 415,280.25 × 87,309.72
  4. Step 4: Simplify right side
    276,847.52x = 36,258,000,272.63
  5. Step 5: Solve for x
    x = 36,258,000,272.63/276,847.52
  6. Step 6: Final answer
    x = 130,967.40

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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.