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Finding the Fourth Proportional to 499,391,999.80, 749,087,999.70 and 408,618,086.20

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Solution

The fourth proportional to 499,391,999.80, 749,087,999.70 and 408,618,086.20 is: 612,927,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,391,999.80 : 749,087,999.70 = 408,618,086.20 : x
  2. Step 2: Convert to fraction form
    499,391,999.80/749,087,999.70 = 408,618,086.20/x
  3. Step 3: Cross multiply
    499,391,999.80x = 749,087,999.70 × 408,618,086.20
  4. Step 4: Simplify right side
    499,391,999.80x = 306,090,904,832,800,192
  5. Step 5: Solve for x
    x = 306,090,904,832,800,192/499,391,999.80
  6. Step 6: Final answer
    x = 612,927,129.30

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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.