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Finding the Fourth Proportional to 516,116.47, 712,296.56 and 312,279.80

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Solution

The fourth proportional to 516,116.47, 712,296.56 and 312,279.80 is: 430,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,116.47 : 712,296.56 = 312,279.80 : x
  2. Step 2: Convert to fraction form
    516,116.47/712,296.56 = 312,279.80/x
  3. Step 3: Cross multiply
    516,116.47x = 712,296.56 × 312,279.80
  4. Step 4: Simplify right side
    516,116.47x = 222,435,825,736.09
  5. Step 5: Solve for x
    x = 222,435,825,736.09/516,116.47
  6. Step 6: Final answer
    x = 430,979.91

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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.