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Finding the Fourth Proportional to 318,917,077.20, 447,693,231.60 and 318,917,077.20

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Solution

The fourth proportional to 318,917,077.20, 447,693,231.60 and 318,917,077.20 is: 447,693,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,917,077.20 : 447,693,231.60 = 318,917,077.20 : x
  2. Step 2: Convert to fraction form
    318,917,077.20/447,693,231.60 = 318,917,077.20/x
  3. Step 3: Cross multiply
    318,917,077.20x = 447,693,231.60 × 318,917,077.20
  4. Step 4: Simplify right side
    318,917,077.20x = 142,777,016,904,094,688
  5. Step 5: Solve for x
    x = 142,777,016,904,094,688/318,917,077.20
  6. Step 6: Final answer
    x = 447,693,231.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.