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Finding the Fourth Proportional to 516,520.54, 712,816.62 and 287,082.40

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Solution

The fourth proportional to 516,520.54, 712,816.62 and 287,082.40 is: 396,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,520.54 : 712,816.62 = 287,082.40 : x
  2. Step 2: Convert to fraction form
    516,520.54/712,816.62 = 287,082.40/x
  3. Step 3: Cross multiply
    516,520.54x = 712,816.62 × 287,082.40
  4. Step 4: Simplify right side
    516,520.54x = 204,637,106,029.49
  5. Step 5: Solve for x
    x = 204,637,106,029.49/516,520.54
  6. Step 6: Final answer
    x = 396,183.87

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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.