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Finding the Fourth Proportional to 205,863.78, 308,396.10 and 151,730.04

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Solution

The fourth proportional to 205,863.78, 308,396.10 and 151,730.04 is: 227,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,863.78 : 308,396.10 = 151,730.04 : x
  2. Step 2: Convert to fraction form
    205,863.78/308,396.10 = 151,730.04/x
  3. Step 3: Cross multiply
    205,863.78x = 308,396.10 × 151,730.04
  4. Step 4: Simplify right side
    205,863.78x = 46,792,952,588.84
  5. Step 5: Solve for x
    x = 46,792,952,588.84/205,863.78
  6. Step 6: Final answer
    x = 227,300.56

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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.