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Finding the Fourth Proportional to 516,016.91, 712,126.97 and 286,575.21

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Solution

The fourth proportional to 516,016.91, 712,126.97 and 286,575.21 is: 395,486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,016.91 : 712,126.97 = 286,575.21 : x
  2. Step 2: Convert to fraction form
    516,016.91/712,126.97 = 286,575.21/x
  3. Step 3: Cross multiply
    516,016.91x = 712,126.97 × 286,575.21
  4. Step 4: Simplify right side
    516,016.91x = 204,077,935,974.41
  5. Step 5: Solve for x
    x = 204,077,935,974.41/516,016.91
  6. Step 6: Final answer
    x = 395,486.92

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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.