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Finding the Fourth Proportional to 499,847.60, 689,788.16 and 270,404.82

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Solution

The fourth proportional to 499,847.60, 689,788.16 and 270,404.82 is: 373,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,847.60 : 689,788.16 = 270,404.82 : x
  2. Step 2: Convert to fraction form
    499,847.60/689,788.16 = 270,404.82/x
  3. Step 3: Cross multiply
    499,847.60x = 689,788.16 × 270,404.82
  4. Step 4: Simplify right side
    499,847.60x = 186,522,039,793.99
  5. Step 5: Solve for x
    x = 186,522,039,793.99/499,847.60
  6. Step 6: Final answer
    x = 373,157.82

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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.