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Finding the Fourth Proportional to 499,814.16, 689,760.72 and 273,459.60

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Solution

The fourth proportional to 499,814.16, 689,760.72 and 273,459.60 is: 377,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,814.16 : 689,760.72 = 273,459.60 : x
  2. Step 2: Convert to fraction form
    499,814.16/689,760.72 = 273,459.60/x
  3. Step 3: Cross multiply
    499,814.16x = 689,760.72 × 273,459.60
  4. Step 4: Simplify right side
    499,814.16x = 188,621,690,586.91
  5. Step 5: Solve for x
    x = 188,621,690,586.91/499,814.16
  6. Step 6: Final answer
    x = 377,383.65

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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.