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Finding the Fourth Proportional to 279,935,402.40, 419,903,103.60 and 198,306,064.80

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Solution

The fourth proportional to 279,935,402.40, 419,903,103.60 and 198,306,064.80 is: 297,459,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,935,402.40 : 419,903,103.60 = 198,306,064.80 : x
  2. Step 2: Convert to fraction form
    279,935,402.40/419,903,103.60 = 198,306,064.80/x
  3. Step 3: Cross multiply
    279,935,402.40x = 419,903,103.60 × 198,306,064.80
  4. Step 4: Simplify right side
    279,935,402.40x = 83,269,332,072,222,720
  5. Step 5: Solve for x
    x = 83,269,332,072,222,720/279,935,402.40
  6. Step 6: Final answer
    x = 297,459,097.20

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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.