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Finding the Fourth Proportional to 519,327, 716,671.44 and 280,863

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Solution

The fourth proportional to 519,327, 716,671.44 and 280,863 is: 387,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,327 : 716,671.44 = 280,863 : x
  2. Step 2: Convert to fraction form
    519,327/716,671.44 = 280,863/x
  3. Step 3: Cross multiply
    519,327x = 716,671.44 × 280,863
  4. Step 4: Simplify right side
    519,327x = 201,286,490,652.72
  5. Step 5: Solve for x
    x = 201,286,490,652.72/519,327
  6. Step 6: Final answer
    x = 387,591.04

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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.