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Finding the Fourth Proportional to 1,318,794.57, 1,978,170.04 and 420,224.10

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Solution

The fourth proportional to 1,318,794.57, 1,978,170.04 and 420,224.10 is: 630,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,794.57 : 1,978,170.04 = 420,224.10 : x
  2. Step 2: Convert to fraction form
    1,318,794.57/1,978,170.04 = 420,224.10/x
  3. Step 3: Cross multiply
    1,318,794.57x = 1,978,170.04 × 420,224.10
  4. Step 4: Simplify right side
    1,318,794.57x = 831,274,724,705.96
  5. Step 5: Solve for x
    x = 831,274,724,705.96/1,318,794.57
  6. Step 6: Final answer
    x = 630,329.20

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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.