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Finding the Fourth Proportional to 508,382.82, 761,857.43 and 280,781.06

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Solution

The fourth proportional to 508,382.82, 761,857.43 and 280,781.06 is: 420,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,382.82 : 761,857.43 = 280,781.06 : x
  2. Step 2: Convert to fraction form
    508,382.82/761,857.43 = 280,781.06/x
  3. Step 3: Cross multiply
    508,382.82x = 761,857.43 × 280,781.06
  4. Step 4: Simplify right side
    508,382.82x = 213,915,131,551.08
  5. Step 5: Solve for x
    x = 213,915,131,551.08/508,382.82
  6. Step 6: Final answer
    x = 420,775.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.