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Finding the Fourth Proportional to 378,888.66, 522,829.13 and 209,111.85

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Solution

The fourth proportional to 378,888.66, 522,829.13 and 209,111.85 is: 288,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.66 : 522,829.13 = 209,111.85 : x
  2. Step 2: Convert to fraction form
    378,888.66/522,829.13 = 209,111.85/x
  3. Step 3: Cross multiply
    378,888.66x = 522,829.13 × 209,111.85
  4. Step 4: Simplify right side
    378,888.66x = 109,329,765,562.63
  5. Step 5: Solve for x
    x = 109,329,765,562.63/378,888.66
  6. Step 6: Final answer
    x = 288,553.81

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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.