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Finding the Fourth Proportional to 326,947,496.80, 489,866,281.80 and 197,282,648.20

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Solution

The fourth proportional to 326,947,496.80, 489,866,281.80 and 197,282,648.20 is: 295,589,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,947,496.80 : 489,866,281.80 = 197,282,648.20 : x
  2. Step 2: Convert to fraction form
    326,947,496.80/489,866,281.80 = 197,282,648.20/x
  3. Step 3: Cross multiply
    326,947,496.80x = 489,866,281.80 × 197,282,648.20
  4. Step 4: Simplify right side
    326,947,496.80x = 96,642,117,337,391,456
  5. Step 5: Solve for x
    x = 96,642,117,337,391,456/326,947,496.80
  6. Step 6: Final answer
    x = 295,589,103.09

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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.