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Finding the Fourth Proportional to 509,933.87, 703,726.00 and 280,508.21

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Solution

The fourth proportional to 509,933.87, 703,726.00 and 280,508.21 is: 387,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,933.87 : 703,726.00 = 280,508.21 : x
  2. Step 2: Convert to fraction form
    509,933.87/703,726.00 = 280,508.21/x
  3. Step 3: Cross multiply
    509,933.87x = 703,726.00 × 280,508.21
  4. Step 4: Simplify right side
    509,933.87x = 197,400,916,370.56
  5. Step 5: Solve for x
    x = 197,400,916,370.56/509,933.87
  6. Step 6: Final answer
    x = 387,110.82

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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.