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Finding the Fourth Proportional to 283,987,311.80, 425,980,967.70 and 253,376,310.20

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Solution

The fourth proportional to 283,987,311.80, 425,980,967.70 and 253,376,310.20 is: 380,064,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,987,311.80 : 425,980,967.70 = 253,376,310.20 : x
  2. Step 2: Convert to fraction form
    283,987,311.80/425,980,967.70 = 253,376,310.20/x
  3. Step 3: Cross multiply
    283,987,311.80x = 425,980,967.70 × 253,376,310.20
  4. Step 4: Simplify right side
    283,987,311.80x = 107,933,485,811,251,376
  5. Step 5: Solve for x
    x = 107,933,485,811,251,376/283,987,311.80
  6. Step 6: Final answer
    x = 380,064,465.30

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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.