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Finding the Fourth Proportional to 516,661.64, 712,937.24 and 287,228.78

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Solution

The fourth proportional to 516,661.64, 712,937.24 and 287,228.78 is: 396,344.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,661.64 : 712,937.24 = 287,228.78 : x
  2. Step 2: Convert to fraction form
    516,661.64/712,937.24 = 287,228.78/x
  3. Step 3: Cross multiply
    516,661.64x = 712,937.24 × 287,228.78
  4. Step 4: Simplify right side
    516,661.64x = 204,776,098,037.49
  5. Step 5: Solve for x
    x = 204,776,098,037.49/516,661.64
  6. Step 6: Final answer
    x = 396,344.69

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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.