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Finding the Fourth Proportional to 378,137.77, 567,428.09 and 209,798.91

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Solution

The fourth proportional to 378,137.77, 567,428.09 and 209,798.91 is: 314,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,137.77 : 567,428.09 = 209,798.91 : x
  2. Step 2: Convert to fraction form
    378,137.77/567,428.09 = 209,798.91/x
  3. Step 3: Cross multiply
    378,137.77x = 567,428.09 × 209,798.91
  4. Step 4: Simplify right side
    378,137.77x = 119,045,793,736.39
  5. Step 5: Solve for x
    x = 119,045,793,736.39/378,137.77
  6. Step 6: Final answer
    x = 314,821.22

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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.