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Finding the Fourth Proportional to 533,854,459.80, 800,781,689.70 and 419,192,674.20

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Solution

The fourth proportional to 533,854,459.80, 800,781,689.70 and 419,192,674.20 is: 628,789,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,854,459.80 : 800,781,689.70 = 419,192,674.20 : x
  2. Step 2: Convert to fraction form
    533,854,459.80/800,781,689.70 = 419,192,674.20/x
  3. Step 3: Cross multiply
    533,854,459.80x = 800,781,689.70 × 419,192,674.20
  4. Step 4: Simplify right side
    533,854,459.80x = 335,681,817,955,737,600
  5. Step 5: Solve for x
    x = 335,681,817,955,737,600/533,854,459.80
  6. Step 6: Final answer
    x = 628,789,011.30

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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.