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Finding the Fourth Proportional to 653,183,998.20, 979,859,978.10 and 325,826,839.80

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Solution

The fourth proportional to 653,183,998.20, 979,859,978.10 and 325,826,839.80 is: 488,782,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,183,998.20 : 979,859,978.10 = 325,826,839.80 : x
  2. Step 2: Convert to fraction form
    653,183,998.20/979,859,978.10 = 325,826,839.80/x
  3. Step 3: Cross multiply
    653,183,998.20x = 979,859,978.10 × 325,826,839.80
  4. Step 4: Simplify right side
    653,183,998.20x = 319,264,680,110,820,224
  5. Step 5: Solve for x
    x = 319,264,680,110,820,224/653,183,998.20
  6. Step 6: Final answer
    x = 488,782,151.72

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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.