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Finding the Fourth Proportional to 516,460.60, 712,716.13 and 287,039.36

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Solution

The fourth proportional to 516,460.60, 712,716.13 and 287,039.36 is: 396,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,460.60 : 712,716.13 = 287,039.36 : x
  2. Step 2: Convert to fraction form
    516,460.60/712,716.13 = 287,039.36/x
  3. Step 3: Cross multiply
    516,460.60x = 712,716.13 × 287,039.36
  4. Step 4: Simplify right side
    516,460.60x = 204,577,581,816.88
  5. Step 5: Solve for x
    x = 204,577,581,816.88/516,460.60
  6. Step 6: Final answer
    x = 396,114.60

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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.