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Finding the Fourth Proportional to 404,138, 557,422.08 and 343,286.48

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Solution

The fourth proportional to 404,138, 557,422.08 and 343,286.48 is: 473,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,138 : 557,422.08 = 343,286.48 : x
  2. Step 2: Convert to fraction form
    404,138/557,422.08 = 343,286.48/x
  3. Step 3: Cross multiply
    404,138x = 557,422.08 × 343,286.48
  4. Step 4: Simplify right side
    404,138x = 191,355,463,717.48
  5. Step 5: Solve for x
    x = 191,355,463,717.48/404,138
  6. Step 6: Final answer
    x = 473,490.40

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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.