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Finding the Fourth Proportional to 499,392,003.80, 749,088,005.70 and 418,770,435.80

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Solution

The fourth proportional to 499,392,003.80, 749,088,005.70 and 418,770,435.80 is: 628,155,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,392,003.80 : 749,088,005.70 = 418,770,435.80 : x
  2. Step 2: Convert to fraction form
    499,392,003.80/749,088,005.70 = 418,770,435.80/x
  3. Step 3: Cross multiply
    499,392,003.80x = 749,088,005.70 × 418,770,435.80
  4. Step 4: Simplify right side
    499,392,003.80x = 313,695,910,599,541,888
  5. Step 5: Solve for x
    x = 313,695,910,599,541,888/499,392,003.80
  6. Step 6: Final answer
    x = 628,155,653.70

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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.