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Finding the Fourth Proportional to 715,448.48, 987,103.60 and 428,864

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Solution

The fourth proportional to 715,448.48, 987,103.60 and 428,864 is: 591,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,448.48 : 987,103.60 = 428,864 : x
  2. Step 2: Convert to fraction form
    715,448.48/987,103.60 = 428,864/x
  3. Step 3: Cross multiply
    715,448.48x = 987,103.60 × 428,864
  4. Step 4: Simplify right side
    715,448.48x = 423,333,198,310.40
  5. Step 5: Solve for x
    x = 423,333,198,310.40/715,448.48
  6. Step 6: Final answer
    x = 591,703.26

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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.