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Finding the Fourth Proportional to 498,105.96, 687,563.72 and 294,157.71

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Solution

The fourth proportional to 498,105.96, 687,563.72 and 294,157.71 is: 406,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,105.96 : 687,563.72 = 294,157.71 : x
  2. Step 2: Convert to fraction form
    498,105.96/687,563.72 = 294,157.71/x
  3. Step 3: Cross multiply
    498,105.96x = 687,563.72 × 294,157.71
  4. Step 4: Simplify right side
    498,105.96x = 202,252,167,883.49
  5. Step 5: Solve for x
    x = 202,252,167,883.49/498,105.96
  6. Step 6: Final answer
    x = 406,042.46

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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.