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Finding the Fourth Proportional to 285,796,656,101.90, 428,694,984,152.85 and 285,796,656,101.90

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Solution

The fourth proportional to 285,796,656,101.90, 428,694,984,152.85 and 285,796,656,101.90 is: 428,694,984,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,796,656,101.90 : 428,694,984,152.85 = 285,796,656,101.90 : x
  2. Step 2: Convert to fraction form
    285,796,656,101.90/428,694,984,152.85 = 285,796,656,101.90/x
  3. Step 3: Cross multiply
    285,796,656,101.90x = 428,694,984,152.85 × 285,796,656,101.90
  4. Step 4: Simplify right side
    285,796,656,101.90x = 122,519,592,958,541,539,835,904
  5. Step 5: Solve for x
    x = 122,519,592,958,541,539,835,904/285,796,656,101.90
  6. Step 6: Final answer
    x = 428,694,984,152.85

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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.