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Finding the Fourth Proportional to 238,296.78, 328,848.37 and 129,400.15

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Solution

The fourth proportional to 238,296.78, 328,848.37 and 129,400.15 is: 178,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,296.78 : 328,848.37 = 129,400.15 : x
  2. Step 2: Convert to fraction form
    238,296.78/328,848.37 = 129,400.15/x
  3. Step 3: Cross multiply
    238,296.78x = 328,848.37 × 129,400.15
  4. Step 4: Simplify right side
    238,296.78x = 42,553,027,876.22
  5. Step 5: Solve for x
    x = 42,553,027,876.22/238,296.78
  6. Step 6: Final answer
    x = 178,571.56

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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.