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Finding the Fourth Proportional to 409,185.78, 613,385 and 209,600.16

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Solution

The fourth proportional to 409,185.78, 613,385 and 209,600.16 is: 314,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,185.78 : 613,385 = 209,600.16 : x
  2. Step 2: Convert to fraction form
    409,185.78/613,385 = 209,600.16/x
  3. Step 3: Cross multiply
    409,185.78x = 613,385 × 209,600.16
  4. Step 4: Simplify right side
    409,185.78x = 128,565,594,141.60
  5. Step 5: Solve for x
    x = 128,565,594,141.60/409,185.78
  6. Step 6: Final answer
    x = 314,198.59

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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.