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Finding the Fourth Proportional to 410,147.40, 615,221.10 and 385,215.60

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Solution

The fourth proportional to 410,147.40, 615,221.10 and 385,215.60 is: 577,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,147.40 : 615,221.10 = 385,215.60 : x
  2. Step 2: Convert to fraction form
    410,147.40/615,221.10 = 385,215.60/x
  3. Step 3: Cross multiply
    410,147.40x = 615,221.10 × 385,215.60
  4. Step 4: Simplify right side
    410,147.40x = 236,992,765,169.16
  5. Step 5: Solve for x
    x = 236,992,765,169.16/410,147.40
  6. Step 6: Final answer
    x = 577,823.40

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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.