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Finding the Fourth Proportional to 499,391,998.80, 749,087,998.20 and 408,618,085.20

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Solution

The fourth proportional to 499,391,998.80, 749,087,998.20 and 408,618,085.20 is: 612,927,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,391,998.80 : 749,087,998.20 = 408,618,085.20 : x
  2. Step 2: Convert to fraction form
    499,391,998.80/749,087,998.20 = 408,618,085.20/x
  3. Step 3: Cross multiply
    499,391,998.80x = 749,087,998.20 × 408,618,085.20
  4. Step 4: Simplify right side
    499,391,998.80x = 306,090,903,470,785,088
  5. Step 5: Solve for x
    x = 306,090,903,470,785,088/499,391,998.80
  6. Step 6: Final answer
    x = 612,927,127.80

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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.