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Finding the Fourth Proportional to 485,709.32, 728,648.22 and 148,742.03

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Solution

The fourth proportional to 485,709.32, 728,648.22 and 148,742.03 is: 223,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,709.32 : 728,648.22 = 148,742.03 : x
  2. Step 2: Convert to fraction form
    485,709.32/728,648.22 = 148,742.03/x
  3. Step 3: Cross multiply
    485,709.32x = 728,648.22 × 148,742.03
  4. Step 4: Simplify right side
    485,709.32x = 108,380,615,398.69
  5. Step 5: Solve for x
    x = 108,380,615,398.69/485,709.32
  6. Step 6: Final answer
    x = 223,138.84

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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.