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Finding the Fourth Proportional to 341,876,605.80, 512,814,908.70 and 307,836,388.20

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Solution

The fourth proportional to 341,876,605.80, 512,814,908.70 and 307,836,388.20 is: 461,754,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,876,605.80 : 512,814,908.70 = 307,836,388.20 : x
  2. Step 2: Convert to fraction form
    341,876,605.80/512,814,908.70 = 307,836,388.20/x
  3. Step 3: Cross multiply
    341,876,605.80x = 512,814,908.70 × 307,836,388.20
  4. Step 4: Simplify right side
    341,876,605.80x = 157,863,089,309,320,736
  5. Step 5: Solve for x
    x = 157,863,089,309,320,736/341,876,605.80
  6. Step 6: Final answer
    x = 461,754,582.30

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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.