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Finding the Fourth Proportional to 512,642,081.80, 768,963,122.70 and 167,630,584.60

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Solution

The fourth proportional to 512,642,081.80, 768,963,122.70 and 167,630,584.60 is: 251,445,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,642,081.80 : 768,963,122.70 = 167,630,584.60 : x
  2. Step 2: Convert to fraction form
    512,642,081.80/768,963,122.70 = 167,630,584.60/x
  3. Step 3: Cross multiply
    512,642,081.80x = 768,963,122.70 × 167,630,584.60
  4. Step 4: Simplify right side
    512,642,081.80x = 128,901,737,794,042,528
  5. Step 5: Solve for x
    x = 128,901,737,794,042,528/512,642,081.80
  6. Step 6: Final answer
    x = 251,445,876.90

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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.