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Finding the Fourth Proportional to 509,721.78, 703,436.31 and 280,297.87

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Solution

The fourth proportional to 509,721.78, 703,436.31 and 280,297.87 is: 386,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,721.78 : 703,436.31 = 280,297.87 : x
  2. Step 2: Convert to fraction form
    509,721.78/703,436.31 = 280,297.87/x
  3. Step 3: Cross multiply
    509,721.78x = 703,436.31 × 280,297.87
  4. Step 4: Simplify right side
    509,721.78x = 197,171,699,373.66
  5. Step 5: Solve for x
    x = 197,171,699,373.66/509,721.78
  6. Step 6: Final answer
    x = 386,822.20

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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.