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Finding the Fourth Proportional to 929,195,319.15, 1,393,792,978.73 and 851,711,221.35

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Solution

The fourth proportional to 929,195,319.15, 1,393,792,978.73 and 851,711,221.35 is: 1,277,566,832.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,195,319.15 : 1,393,792,978.73 = 851,711,221.35 : x
  2. Step 2: Convert to fraction form
    929,195,319.15/1,393,792,978.73 = 851,711,221.35/x
  3. Step 3: Cross multiply
    929,195,319.15x = 1,393,792,978.73 × 851,711,221.35
  4. Step 4: Simplify right side
    929,195,319.15x = 1,187,109,120,218,924,288
  5. Step 5: Solve for x
    x = 1,187,109,120,218,924,288/929,195,319.15
  6. Step 6: Final answer
    x = 1,277,566,832.03

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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.