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Finding the Fourth Proportional to 338,232.78, 507,348.83 and 138,553.54

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Solution

The fourth proportional to 338,232.78, 507,348.83 and 138,553.54 is: 207,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,232.78 : 507,348.83 = 138,553.54 : x
  2. Step 2: Convert to fraction form
    338,232.78/507,348.83 = 138,553.54/x
  3. Step 3: Cross multiply
    338,232.78x = 507,348.83 × 138,553.54
  4. Step 4: Simplify right side
    338,232.78x = 70,294,976,411.36
  5. Step 5: Solve for x
    x = 70,294,976,411.36/338,232.78
  6. Step 6: Final answer
    x = 207,830.17

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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.