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Finding the Fourth Proportional to 516,422.28, 712,647.24 and 286,978.80

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Solution

The fourth proportional to 516,422.28, 712,647.24 and 286,978.80 is: 396,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,422.28 : 712,647.24 = 286,978.80 : x
  2. Step 2: Convert to fraction form
    516,422.28/712,647.24 = 286,978.80/x
  3. Step 3: Cross multiply
    516,422.28x = 712,647.24 × 286,978.80
  4. Step 4: Simplify right side
    516,422.28x = 204,514,649,758.51
  5. Step 5: Solve for x
    x = 204,514,649,758.51/516,422.28
  6. Step 6: Final answer
    x = 396,022.13

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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.