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Finding the Fourth Proportional to 324,419.70, 486,323.28 and 156,035.28

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Solution

The fourth proportional to 324,419.70, 486,323.28 and 156,035.28 is: 233,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,419.70 : 486,323.28 = 156,035.28 : x
  2. Step 2: Convert to fraction form
    324,419.70/486,323.28 = 156,035.28/x
  3. Step 3: Cross multiply
    324,419.70x = 486,323.28 × 156,035.28
  4. Step 4: Simplify right side
    324,419.70x = 75,883,589,165.32
  5. Step 5: Solve for x
    x = 75,883,589,165.32/324,419.70
  6. Step 6: Final answer
    x = 233,905.61

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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.