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Finding the Fourth Proportional to 419,954.10, 629,931.15 and 314,978.10

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Solution

The fourth proportional to 419,954.10, 629,931.15 and 314,978.10 is: 472,467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.10 : 629,931.15 = 314,978.10 : x
  2. Step 2: Convert to fraction form
    419,954.10/629,931.15 = 314,978.10/x
  3. Step 3: Cross multiply
    419,954.10x = 629,931.15 × 314,978.10
  4. Step 4: Simplify right side
    419,954.10x = 198,414,516,757.82
  5. Step 5: Solve for x
    x = 198,414,516,757.82/419,954.10
  6. Step 6: Final answer
    x = 472,467.15

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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.