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Finding the Fourth Proportional to 311,136, 429,367.68 and 169,824

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Solution

The fourth proportional to 311,136, 429,367.68 and 169,824 is: 234,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,136 : 429,367.68 = 169,824 : x
  2. Step 2: Convert to fraction form
    311,136/429,367.68 = 169,824/x
  3. Step 3: Cross multiply
    311,136x = 429,367.68 × 169,824
  4. Step 4: Simplify right side
    311,136x = 72,916,936,888.32
  5. Step 5: Solve for x
    x = 72,916,936,888.32/311,136
  6. Step 6: Final answer
    x = 234,357.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.