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Finding the Fourth Proportional to 419,827.70, 629,368.60 and 163,600.95

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Solution

The fourth proportional to 419,827.70, 629,368.60 and 163,600.95 is: 245,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,827.70 : 629,368.60 = 163,600.95 : x
  2. Step 2: Convert to fraction form
    419,827.70/629,368.60 = 163,600.95/x
  3. Step 3: Cross multiply
    419,827.70x = 629,368.60 × 163,600.95
  4. Step 4: Simplify right side
    419,827.70x = 102,965,302,578.10
  5. Step 5: Solve for x
    x = 102,965,302,578.10/419,827.70
  6. Step 6: Final answer
    x = 245,256.10

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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.