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Finding the Fourth Proportional to 519,165, 716,447.70 and 280,701

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Solution

The fourth proportional to 519,165, 716,447.70 and 280,701 is: 387,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,165 : 716,447.70 = 280,701 : x
  2. Step 2: Convert to fraction form
    519,165/716,447.70 = 280,701/x
  3. Step 3: Cross multiply
    519,165x = 716,447.70 × 280,701
  4. Step 4: Simplify right side
    519,165x = 201,107,585,837.70
  5. Step 5: Solve for x
    x = 201,107,585,837.70/519,165
  6. Step 6: Final answer
    x = 387,367.38

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1.5x scale

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.