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Finding the Fourth Proportional to 485,809.52, 728,736.60 and 148,826

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Solution

The fourth proportional to 485,809.52, 728,736.60 and 148,826 is: 223,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,809.52 : 728,736.60 = 148,826 : x
  2. Step 2: Convert to fraction form
    485,809.52/728,736.60 = 148,826/x
  3. Step 3: Cross multiply
    485,809.52x = 728,736.60 × 148,826
  4. Step 4: Simplify right side
    485,809.52x = 108,454,953,231.60
  5. Step 5: Solve for x
    x = 108,454,953,231.60/485,809.52
  6. Step 6: Final answer
    x = 223,245.84

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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.