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Finding the Fourth Proportional to 410,296.20, 615,152.70 and 185,764.20

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Solution

The fourth proportional to 410,296.20, 615,152.70 and 185,764.20 is: 278,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,296.20 : 615,152.70 = 185,764.20 : x
  2. Step 2: Convert to fraction form
    410,296.20/615,152.70 = 185,764.20/x
  3. Step 3: Cross multiply
    410,296.20x = 615,152.70 × 185,764.20
  4. Step 4: Simplify right side
    410,296.20x = 114,273,349,193.34
  5. Step 5: Solve for x
    x = 114,273,349,193.34/410,296.20
  6. Step 6: Final answer
    x = 278,514.28

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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.