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Finding the Fourth Proportional to 516,213.10, 712,350.94 and 286,786.47

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Solution

The fourth proportional to 516,213.10, 712,350.94 and 286,786.47 is: 395,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,213.10 : 712,350.94 = 286,786.47 : x
  2. Step 2: Convert to fraction form
    516,213.10/712,350.94 = 286,786.47/x
  3. Step 3: Cross multiply
    516,213.10x = 712,350.94 × 286,786.47
  4. Step 4: Simplify right side
    516,213.10x = 204,292,610,049.85
  5. Step 5: Solve for x
    x = 204,292,610,049.85/516,213.10
  6. Step 6: Final answer
    x = 395,752.48

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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.