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Finding the Fourth Proportional to 419,992.40, 629,931.90 and 167,458.70

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Solution

The fourth proportional to 419,992.40, 629,931.90 and 167,458.70 is: 251,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,992.40 : 629,931.90 = 167,458.70 : x
  2. Step 2: Convert to fraction form
    419,992.40/629,931.90 = 167,458.70/x
  3. Step 3: Cross multiply
    419,992.40x = 629,931.90 × 167,458.70
  4. Step 4: Simplify right side
    419,992.40x = 105,487,577,062.53
  5. Step 5: Solve for x
    x = 105,487,577,062.53/419,992.40
  6. Step 6: Final answer
    x = 251,165.44

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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.