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Finding the Fourth Proportional to 498,229.90, 687,537.47 and 294,346.49

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Solution

The fourth proportional to 498,229.90, 687,537.47 and 294,346.49 is: 406,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,229.90 : 687,537.47 = 294,346.49 : x
  2. Step 2: Convert to fraction form
    498,229.90/687,537.47 = 294,346.49/x
  3. Step 3: Cross multiply
    498,229.90x = 687,537.47 × 294,346.49
  4. Step 4: Simplify right side
    498,229.90x = 202,374,238,336.16
  5. Step 5: Solve for x
    x = 202,374,238,336.16/498,229.90
  6. Step 6: Final answer
    x = 406,186.46

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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.