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Finding the Fourth Proportional to 284,004,372.80, 426,049,132.80 and 120,241,812.80

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Solution

The fourth proportional to 284,004,372.80, 426,049,132.80 and 120,241,812.80 is: 180,380,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004,372.80 : 426,049,132.80 = 120,241,812.80 : x
  2. Step 2: Convert to fraction form
    284,004,372.80/426,049,132.80 = 120,241,812.80/x
  3. Step 3: Cross multiply
    284,004,372.80x = 426,049,132.80 × 120,241,812.80
  4. Step 4: Simplify right side
    284,004,372.80x = 51,228,920,069,739,944
  5. Step 5: Solve for x
    x = 51,228,920,069,739,944/284,004,372.80
  6. Step 6: Final answer
    x = 180,380,744.02

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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.