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Finding the Fourth Proportional to 276,809.10, 415,213.65 and 89,820.60

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Solution

The fourth proportional to 276,809.10, 415,213.65 and 89,820.60 is: 134,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,809.10 : 415,213.65 = 89,820.60 : x
  2. Step 2: Convert to fraction form
    276,809.10/415,213.65 = 89,820.60/x
  3. Step 3: Cross multiply
    276,809.10x = 415,213.65 × 89,820.60
  4. Step 4: Simplify right side
    276,809.10x = 37,294,739,171.19
  5. Step 5: Solve for x
    x = 37,294,739,171.19/276,809.10
  6. Step 6: Final answer
    x = 134,730.90

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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.