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Finding the Fourth Proportional to 427,319,141.80, 640,978,712.70 and 422,784,178.60

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Solution

The fourth proportional to 427,319,141.80, 640,978,712.70 and 422,784,178.60 is: 634,176,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,319,141.80 : 640,978,712.70 = 422,784,178.60 : x
  2. Step 2: Convert to fraction form
    427,319,141.80/640,978,712.70 = 422,784,178.60/x
  3. Step 3: Cross multiply
    427,319,141.80x = 640,978,712.70 × 422,784,178.60
  4. Step 4: Simplify right side
    427,319,141.80x = 270,995,658,548,954,912
  5. Step 5: Solve for x
    x = 270,995,658,548,954,912/427,319,141.80
  6. Step 6: Final answer
    x = 634,176,267.90

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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.