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Finding the Fourth Proportional to 478,156.50, 659,855.97 and 263,296.10

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Solution

The fourth proportional to 478,156.50, 659,855.97 and 263,296.10 is: 363,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,156.50 : 659,855.97 = 263,296.10 : x
  2. Step 2: Convert to fraction form
    478,156.50/659,855.97 = 263,296.10/x
  3. Step 3: Cross multiply
    478,156.50x = 659,855.97 × 263,296.10
  4. Step 4: Simplify right side
    478,156.50x = 173,737,505,112.36
  5. Step 5: Solve for x
    x = 173,737,505,112.36/478,156.50
  6. Step 6: Final answer
    x = 363,348.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.