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Finding the Fourth Proportional to 338,908.20, 508,365.90 and 102,252.93

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Solution

The fourth proportional to 338,908.20, 508,365.90 and 102,252.93 is: 153,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,908.20 : 508,365.90 = 102,252.93 : x
  2. Step 2: Convert to fraction form
    338,908.20/508,365.90 = 102,252.93/x
  3. Step 3: Cross multiply
    338,908.20x = 508,365.90 × 102,252.93
  4. Step 4: Simplify right side
    338,908.20x = 51,981,902,787.09
  5. Step 5: Solve for x
    x = 51,981,902,787.09/338,908.20
  6. Step 6: Final answer
    x = 153,380.48

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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.