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Finding the Fourth Proportional to 490,776.30, 677,259.63 and 321,006.78

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Solution

The fourth proportional to 490,776.30, 677,259.63 and 321,006.78 is: 442,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,776.30 : 677,259.63 = 321,006.78 : x
  2. Step 2: Convert to fraction form
    490,776.30/677,259.63 = 321,006.78/x
  3. Step 3: Cross multiply
    490,776.30x = 677,259.63 × 321,006.78
  4. Step 4: Simplify right side
    490,776.30x = 217,404,933,050.29
  5. Step 5: Solve for x
    x = 217,404,933,050.29/490,776.30
  6. Step 6: Final answer
    x = 442,981.73

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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.