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Finding the Fourth Proportional to 410,103.20, 615,615.60 and 317,021.60

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Solution

The fourth proportional to 410,103.20, 615,615.60 and 317,021.60 is: 475,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,103.20 : 615,615.60 = 317,021.60 : x
  2. Step 2: Convert to fraction form
    410,103.20/615,615.60 = 317,021.60/x
  3. Step 3: Cross multiply
    410,103.20x = 615,615.60 × 317,021.60
  4. Step 4: Simplify right side
    410,103.20x = 195,163,442,496.96
  5. Step 5: Solve for x
    x = 195,163,442,496.96/410,103.20
  6. Step 6: Final answer
    x = 475,888.61

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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.