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Finding the Fourth Proportional to 419,730.76, 629,729.24 and 149,853.12

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Solution

The fourth proportional to 419,730.76, 629,729.24 and 149,853.12 is: 224,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,730.76 : 629,729.24 = 149,853.12 : x
  2. Step 2: Convert to fraction form
    419,730.76/629,729.24 = 149,853.12/x
  3. Step 3: Cross multiply
    419,730.76x = 629,729.24 × 149,853.12
  4. Step 4: Simplify right side
    419,730.76x = 94,366,891,369.23
  5. Step 5: Solve for x
    x = 94,366,891,369.23/419,730.76
  6. Step 6: Final answer
    x = 224,827.20

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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.