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Finding the Fourth Proportional to 519,079, 716,329.98 and 280,615

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Solution

The fourth proportional to 519,079, 716,329.98 and 280,615 is: 387,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,079 : 716,329.98 = 280,615 : x
  2. Step 2: Convert to fraction form
    519,079/716,329.98 = 280,615/x
  3. Step 3: Cross multiply
    519,079x = 716,329.98 × 280,615
  4. Step 4: Simplify right side
    519,079x = 201,012,937,337.70
  5. Step 5: Solve for x
    x = 201,012,937,337.70/519,079
  6. Step 6: Final answer
    x = 387,249.22

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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.