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Finding the Fourth Proportional to 516,313.60, 712,503.78 and 286,873

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Solution

The fourth proportional to 516,313.60, 712,503.78 and 286,873 is: 395,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,313.60 : 712,503.78 = 286,873 : x
  2. Step 2: Convert to fraction form
    516,313.60/712,503.78 = 286,873/x
  3. Step 3: Cross multiply
    516,313.60x = 712,503.78 × 286,873
  4. Step 4: Simplify right side
    516,313.60x = 204,398,096,879.94
  5. Step 5: Solve for x
    x = 204,398,096,879.94/516,313.60
  6. Step 6: Final answer
    x = 395,879.75

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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.