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Finding the Fourth Proportional to 398,608,439.80, 597,912,659.70 and 334,111,185.40

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Solution

The fourth proportional to 398,608,439.80, 597,912,659.70 and 334,111,185.40 is: 501,166,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,608,439.80 : 597,912,659.70 = 334,111,185.40 : x
  2. Step 2: Convert to fraction form
    398,608,439.80/597,912,659.70 = 334,111,185.40/x
  3. Step 3: Cross multiply
    398,608,439.80x = 597,912,659.70 × 334,111,185.40
  4. Step 4: Simplify right side
    398,608,439.80x = 199,769,307,498,033,824
  5. Step 5: Solve for x
    x = 199,769,307,498,033,824/398,608,439.80
  6. Step 6: Final answer
    x = 501,166,778.10

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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.