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Finding the Fourth Proportional to 408,805,364.80, 613,208,047.20 and 377,237,769.40

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Solution

The fourth proportional to 408,805,364.80, 613,208,047.20 and 377,237,769.40 is: 565,856,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,805,364.80 : 613,208,047.20 = 377,237,769.40 : x
  2. Step 2: Convert to fraction form
    408,805,364.80/613,208,047.20 = 377,237,769.40/x
  3. Step 3: Cross multiply
    408,805,364.80x = 613,208,047.20 × 377,237,769.40
  4. Step 4: Simplify right side
    408,805,364.80x = 231,325,235,903,857,920
  5. Step 5: Solve for x
    x = 231,325,235,903,857,920/408,805,364.80
  6. Step 6: Final answer
    x = 565,856,654.10

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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.