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Finding the Fourth Proportional to 376,542, 519,631.61 and 206,779.77

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Solution

The fourth proportional to 376,542, 519,631.61 and 206,779.77 is: 285,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,542 : 519,631.61 = 206,779.77 : x
  2. Step 2: Convert to fraction form
    376,542/519,631.61 = 206,779.77/x
  3. Step 3: Cross multiply
    376,542x = 519,631.61 × 206,779.77
  4. Step 4: Simplify right side
    376,542x = 107,449,303,766.63
  5. Step 5: Solve for x
    x = 107,449,303,766.63/376,542
  6. Step 6: Final answer
    x = 285,358.08

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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.