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Finding the Fourth Proportional to 410,037.20, 615,055.80 and 188,853.20

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Solution

The fourth proportional to 410,037.20, 615,055.80 and 188,853.20 is: 283,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,037.20 : 615,055.80 = 188,853.20 : x
  2. Step 2: Convert to fraction form
    410,037.20/615,055.80 = 188,853.20/x
  3. Step 3: Cross multiply
    410,037.20x = 615,055.80 × 188,853.20
  4. Step 4: Simplify right side
    410,037.20x = 116,155,256,008.56
  5. Step 5: Solve for x
    x = 116,155,256,008.56/410,037.20
  6. Step 6: Final answer
    x = 283,279.80

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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.