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Finding the Fourth Proportional to 815,691.78, 1,223,662.14 and 416,114.53

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Solution

The fourth proportional to 815,691.78, 1,223,662.14 and 416,114.53 is: 624,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,691.78 : 1,223,662.14 = 416,114.53 : x
  2. Step 2: Convert to fraction form
    815,691.78/1,223,662.14 = 416,114.53/x
  3. Step 3: Cross multiply
    815,691.78x = 1,223,662.14 × 416,114.53
  4. Step 4: Simplify right side
    815,691.78x = 509,183,593,205.74
  5. Step 5: Solve for x
    x = 509,183,593,205.74/815,691.78
  6. Step 6: Final answer
    x = 624,235.29

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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.