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Finding the Fourth Proportional to 410,190.60, 615,401.10 and 199,835.40

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Solution

The fourth proportional to 410,190.60, 615,401.10 and 199,835.40 is: 299,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,190.60 : 615,401.10 = 199,835.40 : x
  2. Step 2: Convert to fraction form
    410,190.60/615,401.10 = 199,835.40/x
  3. Step 3: Cross multiply
    410,190.60x = 615,401.10 × 199,835.40
  4. Step 4: Simplify right side
    410,190.60x = 122,978,924,978.94
  5. Step 5: Solve for x
    x = 122,978,924,978.94/410,190.60
  6. Step 6: Final answer
    x = 299,809.22

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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.