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Finding the Fourth Proportional to 516,212.60, 712,350.25 and 286,785.97

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Solution

The fourth proportional to 516,212.60, 712,350.25 and 286,785.97 is: 395,751.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,212.60 : 712,350.25 = 286,785.97 : x
  2. Step 2: Convert to fraction form
    516,212.60/712,350.25 = 286,785.97/x
  3. Step 3: Cross multiply
    516,212.60x = 712,350.25 × 286,785.97
  4. Step 4: Simplify right side
    516,212.60x = 204,292,054,928.15
  5. Step 5: Solve for x
    x = 204,292,054,928.15/516,212.60
  6. Step 6: Final answer
    x = 395,751.78

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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.