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Finding the Fourth Proportional to 419,728.76, 629,726.24 and 149,851.11

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Solution

The fourth proportional to 419,728.76, 629,726.24 and 149,851.11 is: 224,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,728.76 : 629,726.24 = 149,851.11 : x
  2. Step 2: Convert to fraction form
    419,728.76/629,726.24 = 149,851.11/x
  3. Step 3: Cross multiply
    419,728.76x = 629,726.24 × 149,851.11
  4. Step 4: Simplify right side
    419,728.76x = 94,365,177,953.32
  5. Step 5: Solve for x
    x = 94,365,177,953.32/419,728.76
  6. Step 6: Final answer
    x = 224,824.19

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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.