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Finding the Fourth Proportional to 499,906.72, 689,245.50 and 417,239.38

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Solution

The fourth proportional to 499,906.72, 689,245.50 and 417,239.38 is: 575,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,906.72 : 689,245.50 = 417,239.38 : x
  2. Step 2: Convert to fraction form
    499,906.72/689,245.50 = 417,239.38/x
  3. Step 3: Cross multiply
    499,906.72x = 689,245.50 × 417,239.38
  4. Step 4: Simplify right side
    499,906.72x = 287,580,365,087.79
  5. Step 5: Solve for x
    x = 287,580,365,087.79/499,906.72
  6. Step 6: Final answer
    x = 575,268.05

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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.