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Finding the Fourth Proportional to 1,318,468,692.60, 1,978,017,966.90 and 398,354,052.60

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Solution

The fourth proportional to 1,318,468,692.60, 1,978,017,966.90 and 398,354,052.60 is: 597,626,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,468,692.60 : 1,978,017,966.90 = 398,354,052.60 : x
  2. Step 2: Convert to fraction form
    1,318,468,692.60/1,978,017,966.90 = 398,354,052.60/x
  3. Step 3: Cross multiply
    1,318,468,692.60x = 1,978,017,966.90 × 398,354,052.60
  4. Step 4: Simplify right side
    1,318,468,692.60x = 787,951,473,230,227,712
  5. Step 5: Solve for x
    x = 787,951,473,230,227,712/1,318,468,692.60
  6. Step 6: Final answer
    x = 597,626,229.32

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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.