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Finding the Fourth Proportional to 315,187,505.91, 472,965,492.33 and 227,662,716.15

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Solution

The fourth proportional to 315,187,505.91, 472,965,492.33 and 227,662,716.15 is: 341,627,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,187,505.91 : 472,965,492.33 = 227,662,716.15 : x
  2. Step 2: Convert to fraction form
    315,187,505.91/472,965,492.33 = 227,662,716.15/x
  3. Step 3: Cross multiply
    315,187,505.91x = 472,965,492.33 × 227,662,716.15
  4. Step 4: Simplify right side
    315,187,505.91x = 107,676,608,629,069,792
  5. Step 5: Solve for x
    x = 107,676,608,629,069,792/315,187,505.91
  6. Step 6: Final answer
    x = 341,627,147.68

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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.