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Finding the Fourth Proportional to 410,613.09, 615,921.05 and 126,301.71

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Solution

The fourth proportional to 410,613.09, 615,921.05 and 126,301.71 is: 189,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,613.09 : 615,921.05 = 126,301.71 : x
  2. Step 2: Convert to fraction form
    410,613.09/615,921.05 = 126,301.71/x
  3. Step 3: Cross multiply
    410,613.09x = 615,921.05 × 126,301.71
  4. Step 4: Simplify right side
    410,613.09x = 77,791,884,465.45
  5. Step 5: Solve for x
    x = 77,791,884,465.45/410,613.09
  6. Step 6: Final answer
    x = 189,453.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.