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Finding the Fourth Proportional to 509,993.36, 703,815.78 and 283,634

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Solution

The fourth proportional to 509,993.36, 703,815.78 and 283,634 is: 391,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,993.36 : 703,815.78 = 283,634 : x
  2. Step 2: Convert to fraction form
    509,993.36/703,815.78 = 283,634/x
  3. Step 3: Cross multiply
    509,993.36x = 703,815.78 × 283,634
  4. Step 4: Simplify right side
    509,993.36x = 199,626,084,944.52
  5. Step 5: Solve for x
    x = 199,626,084,944.52/509,993.36
  6. Step 6: Final answer
    x = 391,428.79

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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.