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Finding the Fourth Proportional to 499,842.96, 689,681.38 and 295,791.76

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Solution

The fourth proportional to 499,842.96, 689,681.38 and 295,791.76 is: 408,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,842.96 : 689,681.38 = 295,791.76 : x
  2. Step 2: Convert to fraction form
    499,842.96/689,681.38 = 295,791.76/x
  3. Step 3: Cross multiply
    499,842.96x = 689,681.38 × 295,791.76
  4. Step 4: Simplify right side
    499,842.96x = 204,002,069,229.43
  5. Step 5: Solve for x
    x = 204,002,069,229.43/499,842.96
  6. Step 6: Final answer
    x = 408,132.32

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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.