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Finding the Fourth Proportional to 516,718.82, 712,985.78 and 287,269.70

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Solution

The fourth proportional to 516,718.82, 712,985.78 and 287,269.70 is: 396,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,718.82 : 712,985.78 = 287,269.70 : x
  2. Step 2: Convert to fraction form
    516,718.82/712,985.78 = 287,269.70/x
  3. Step 3: Cross multiply
    516,718.82x = 712,985.78 × 287,269.70
  4. Step 4: Simplify right side
    516,718.82x = 204,819,211,124.87
  5. Step 5: Solve for x
    x = 204,819,211,124.87/516,718.82
  6. Step 6: Final answer
    x = 396,384.27

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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.