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Finding the Fourth Proportional to 200,589,431.20, 280,251,247.40 and 200,589,431.20

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Solution

The fourth proportional to 200,589,431.20, 280,251,247.40 and 200,589,431.20 is: 280,251,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589,431.20 : 280,251,247.40 = 200,589,431.20 : x
  2. Step 2: Convert to fraction form
    200,589,431.20/280,251,247.40 = 200,589,431.20/x
  3. Step 3: Cross multiply
    200,589,431.20x = 280,251,247.40 × 200,589,431.20
  4. Step 4: Simplify right side
    200,589,431.20x = 56,215,438,309,056,472
  5. Step 5: Solve for x
    x = 56,215,438,309,056,472/200,589,431.20
  6. Step 6: Final answer
    x = 280,251,247.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.