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Finding the Fourth Proportional to 279,490,695.90, 419,236,043.85 and 279,490,695.90

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Solution

The fourth proportional to 279,490,695.90, 419,236,043.85 and 279,490,695.90 is: 419,236,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,490,695.90 : 419,236,043.85 = 279,490,695.90 : x
  2. Step 2: Convert to fraction form
    279,490,695.90/419,236,043.85 = 279,490,695.90/x
  3. Step 3: Cross multiply
    279,490,695.90x = 419,236,043.85 × 279,490,695.90
  4. Step 4: Simplify right side
    279,490,695.90x = 117,172,573,641,999,408
  5. Step 5: Solve for x
    x = 117,172,573,641,999,408/279,490,695.90
  6. Step 6: Final answer
    x = 419,236,043.85

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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.