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Finding the Fourth Proportional to 326,470.20, 489,122.10 and 266,983.80

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Solution

The fourth proportional to 326,470.20, 489,122.10 and 266,983.80 is: 399,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,470.20 : 489,122.10 = 266,983.80 : x
  2. Step 2: Convert to fraction form
    326,470.20/489,122.10 = 266,983.80/x
  3. Step 3: Cross multiply
    326,470.20x = 489,122.10 × 266,983.80
  4. Step 4: Simplify right side
    326,470.20x = 130,587,676,921.98
  5. Step 5: Solve for x
    x = 130,587,676,921.98/326,470.20
  6. Step 6: Final answer
    x = 399,998.77

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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.