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Finding the Fourth Proportional to 414,902,807.40, 622,354,211.10 and 391,094,250.60

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Solution

The fourth proportional to 414,902,807.40, 622,354,211.10 and 391,094,250.60 is: 586,641,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902,807.40 : 622,354,211.10 = 391,094,250.60 : x
  2. Step 2: Convert to fraction form
    414,902,807.40/622,354,211.10 = 391,094,250.60/x
  3. Step 3: Cross multiply
    414,902,807.40x = 622,354,211.10 × 391,094,250.60
  4. Step 4: Simplify right side
    414,902,807.40x = 243,399,153,797,908,736
  5. Step 5: Solve for x
    x = 243,399,153,797,908,736/414,902,807.40
  6. Step 6: Final answer
    x = 586,641,375.90

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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.