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Finding the Fourth Proportional to 398,601,253.20, 597,901,879.80 and 343,118,812.80

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Solution

The fourth proportional to 398,601,253.20, 597,901,879.80 and 343,118,812.80 is: 514,678,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,601,253.20 : 597,901,879.80 = 343,118,812.80 : x
  2. Step 2: Convert to fraction form
    398,601,253.20/597,901,879.80 = 343,118,812.80/x
  3. Step 3: Cross multiply
    398,601,253.20x = 597,901,879.80 × 343,118,812.80
  4. Step 4: Simplify right side
    398,601,253.20x = 205,151,383,167,864,288
  5. Step 5: Solve for x
    x = 205,151,383,167,864,288/398,601,253.20
  6. Step 6: Final answer
    x = 514,678,219.20

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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.