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Finding the Fourth Proportional to 308,100, 460,815.84 and 181,438.32

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Solution

The fourth proportional to 308,100, 460,815.84 and 181,438.32 is: 271,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,100 : 460,815.84 = 181,438.32 : x
  2. Step 2: Convert to fraction form
    308,100/460,815.84 = 181,438.32/x
  3. Step 3: Cross multiply
    308,100x = 460,815.84 × 181,438.32
  4. Step 4: Simplify right side
    308,100x = 83,609,651,838.99
  5. Step 5: Solve for x
    x = 83,609,651,838.99/308,100
  6. Step 6: Final answer
    x = 271,371.80

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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.