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Finding the Fourth Proportional to 378,138.77, 567,429.59 and 209,799.91

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Solution

The fourth proportional to 378,138.77, 567,429.59 and 209,799.91 is: 314,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,138.77 : 567,429.59 = 209,799.91 : x
  2. Step 2: Convert to fraction form
    378,138.77/567,429.59 = 209,799.91/x
  3. Step 3: Cross multiply
    378,138.77x = 567,429.59 × 209,799.91
  4. Step 4: Simplify right side
    378,138.77x = 119,046,676,913.34
  5. Step 5: Solve for x
    x = 119,046,676,913.34/378,138.77
  6. Step 6: Final answer
    x = 314,822.72

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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.