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Finding the Fourth Proportional to 354,149.40, 531,223.02 and 111,009

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Solution

The fourth proportional to 354,149.40, 531,223.02 and 111,009 is: 166,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,149.40 : 531,223.02 = 111,009 : x
  2. Step 2: Convert to fraction form
    354,149.40/531,223.02 = 111,009/x
  3. Step 3: Cross multiply
    354,149.40x = 531,223.02 × 111,009
  4. Step 4: Simplify right side
    354,149.40x = 58,970,536,227.18
  5. Step 5: Solve for x
    x = 58,970,536,227.18/354,149.40
  6. Step 6: Final answer
    x = 166,513.16

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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.