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Finding the Fourth Proportional to 518,546, 715,593.96 and 280,082

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Solution

The fourth proportional to 518,546, 715,593.96 and 280,082 is: 386,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,546 : 715,593.96 = 280,082 : x
  2. Step 2: Convert to fraction form
    518,546/715,593.96 = 280,082/x
  3. Step 3: Cross multiply
    518,546x = 715,593.96 × 280,082
  4. Step 4: Simplify right side
    518,546x = 200,424,987,504.72
  5. Step 5: Solve for x
    x = 200,424,987,504.72/518,546
  6. Step 6: Final answer
    x = 386,513.42

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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.