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Finding the Fourth Proportional to 559,871,998.80, 839,807,998.20 and 342,193,765.20

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Solution

The fourth proportional to 559,871,998.80, 839,807,998.20 and 342,193,765.20 is: 513,290,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,871,998.80 : 839,807,998.20 = 342,193,765.20 : x
  2. Step 2: Convert to fraction form
    559,871,998.80/839,807,998.20 = 342,193,765.20/x
  3. Step 3: Cross multiply
    559,871,998.80x = 839,807,998.20 × 342,193,765.20
  4. Step 4: Simplify right side
    559,871,998.80x = 287,377,060,949,132,832
  5. Step 5: Solve for x
    x = 287,377,060,949,132,832/559,871,998.80
  6. Step 6: Final answer
    x = 513,290,647.80

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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.