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Finding the Fourth Proportional to 497,218.60, 686,143.52 and 303,950

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Solution

The fourth proportional to 497,218.60, 686,143.52 and 303,950 is: 419,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,218.60 : 686,143.52 = 303,950 : x
  2. Step 2: Convert to fraction form
    497,218.60/686,143.52 = 303,950/x
  3. Step 3: Cross multiply
    497,218.60x = 686,143.52 × 303,950
  4. Step 4: Simplify right side
    497,218.60x = 208,553,322,904
  5. Step 5: Solve for x
    x = 208,553,322,904/497,218.60
  6. Step 6: Final answer
    x = 419,439.91

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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.