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Finding the Fourth Proportional to 338,907.78, 508,365.32 and 102,252.51

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Solution

The fourth proportional to 338,907.78, 508,365.32 and 102,252.51 is: 153,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,907.78 : 508,365.32 = 102,252.51 : x
  2. Step 2: Convert to fraction form
    338,907.78/508,365.32 = 102,252.51/x
  3. Step 3: Cross multiply
    338,907.78x = 508,365.32 × 102,252.51
  4. Step 4: Simplify right side
    338,907.78x = 51,981,629,455.69
  5. Step 5: Solve for x
    x = 51,981,629,455.69/338,907.78
  6. Step 6: Final answer
    x = 153,379.86

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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.