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Finding the Fourth Proportional to 323,586.20, 485,453.02 and 98,978.34

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Solution

The fourth proportional to 323,586.20, 485,453.02 and 98,978.34 is: 148,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,586.20 : 485,453.02 = 98,978.34 : x
  2. Step 2: Convert to fraction form
    323,586.20/485,453.02 = 98,978.34/x
  3. Step 3: Cross multiply
    323,586.20x = 485,453.02 × 98,978.34
  4. Step 4: Simplify right side
    323,586.20x = 48,049,334,067.59
  5. Step 5: Solve for x
    x = 48,049,334,067.59/323,586.20
  6. Step 6: Final answer
    x = 148,490.06

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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.