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Finding the Fourth Proportional to 308,906.16, 426,267.11 and 188,034.01

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Solution

The fourth proportional to 308,906.16, 426,267.11 and 188,034.01 is: 259,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,906.16 : 426,267.11 = 188,034.01 : x
  2. Step 2: Convert to fraction form
    308,906.16/426,267.11 = 188,034.01/x
  3. Step 3: Cross multiply
    308,906.16x = 426,267.11 × 188,034.01
  4. Step 4: Simplify right side
    308,906.16x = 80,152,712,371.14
  5. Step 5: Solve for x
    x = 80,152,712,371.14/308,906.16
  6. Step 6: Final answer
    x = 259,472.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.