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Finding the Fourth Proportional to 409,078.08, 613,409.28 and 187,272

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Solution

The fourth proportional to 409,078.08, 613,409.28 and 187,272 is: 280,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,078.08 : 613,409.28 = 187,272 : x
  2. Step 2: Convert to fraction form
    409,078.08/613,409.28 = 187,272/x
  3. Step 3: Cross multiply
    409,078.08x = 613,409.28 × 187,272
  4. Step 4: Simplify right side
    409,078.08x = 114,874,382,684.16
  5. Step 5: Solve for x
    x = 114,874,382,684.16/409,078.08
  6. Step 6: Final answer
    x = 280,812.85

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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.