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Finding the Fourth Proportional to 499,309.11, 689,174.73 and 308,212.70

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Solution

The fourth proportional to 499,309.11, 689,174.73 and 308,212.70 is: 425,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,309.11 : 689,174.73 = 308,212.70 : x
  2. Step 2: Convert to fraction form
    499,309.11/689,174.73 = 308,212.70/x
  3. Step 3: Cross multiply
    499,309.11x = 689,174.73 × 308,212.70
  4. Step 4: Simplify right side
    499,309.11x = 212,412,400,859.20
  5. Step 5: Solve for x
    x = 212,412,400,859.20/499,309.11
  6. Step 6: Final answer
    x = 425,412.63

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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.