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Finding the Fourth Proportional to 338,721.78, 508,083.58 and 114,239.92

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Solution

The fourth proportional to 338,721.78, 508,083.58 and 114,239.92 is: 171,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,721.78 : 508,083.58 = 114,239.92 : x
  2. Step 2: Convert to fraction form
    338,721.78/508,083.58 = 114,239.92/x
  3. Step 3: Cross multiply
    338,721.78x = 508,083.58 × 114,239.92
  4. Step 4: Simplify right side
    338,721.78x = 58,043,427,532.51
  5. Step 5: Solve for x
    x = 58,043,427,532.51/338,721.78
  6. Step 6: Final answer
    x = 171,360.19

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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.