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Finding the Fourth Proportional to 507,163.91, 699,886.24 and 280,809.41

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Solution

The fourth proportional to 507,163.91, 699,886.24 and 280,809.41 is: 387,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,163.91 : 699,886.24 = 280,809.41 : x
  2. Step 2: Convert to fraction form
    507,163.91/699,886.24 = 280,809.41/x
  3. Step 3: Cross multiply
    507,163.91x = 699,886.24 × 280,809.41
  4. Step 4: Simplify right side
    507,163.91x = 196,534,637,920.06
  5. Step 5: Solve for x
    x = 196,534,637,920.06/507,163.91
  6. Step 6: Final answer
    x = 387,517.01

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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.