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Finding the Fourth Proportional to 519,219, 716,522.22 and 280,755

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Solution

The fourth proportional to 519,219, 716,522.22 and 280,755 is: 387,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,219 : 716,522.22 = 280,755 : x
  2. Step 2: Convert to fraction form
    519,219/716,522.22 = 280,755/x
  3. Step 3: Cross multiply
    519,219x = 716,522.22 × 280,755
  4. Step 4: Simplify right side
    519,219x = 201,167,195,876.10
  5. Step 5: Solve for x
    x = 201,167,195,876.10/519,219
  6. Step 6: Final answer
    x = 387,441.90

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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.