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Finding the Fourth Proportional to 402,081.81, 602,945.57 and 188,910.32

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Solution

The fourth proportional to 402,081.81, 602,945.57 and 188,910.32 is: 283,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,081.81 : 602,945.57 = 188,910.32 : x
  2. Step 2: Convert to fraction form
    402,081.81/602,945.57 = 188,910.32/x
  3. Step 3: Cross multiply
    402,081.81x = 602,945.57 × 188,910.32
  4. Step 4: Simplify right side
    402,081.81x = 113,902,637,556.56
  5. Step 5: Solve for x
    x = 113,902,637,556.56/402,081.81
  6. Step 6: Final answer
    x = 283,282.24

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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.