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Finding the Fourth Proportional to 497,563.97, 686,095.65 and 336,138.73

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Solution

The fourth proportional to 497,563.97, 686,095.65 and 336,138.73 is: 463,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,563.97 : 686,095.65 = 336,138.73 : x
  2. Step 2: Convert to fraction form
    497,563.97/686,095.65 = 336,138.73/x
  3. Step 3: Cross multiply
    497,563.97x = 686,095.65 × 336,138.73
  4. Step 4: Simplify right side
    497,563.97x = 230,623,320,449.53
  5. Step 5: Solve for x
    x = 230,623,320,449.53/497,563.97
  6. Step 6: Final answer
    x = 463,504.87

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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.