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Finding the Fourth Proportional to 613,238, 919,857 and 170,006

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Solution

The fourth proportional to 613,238, 919,857 and 170,006 is: 255,009

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,238 : 919,857 = 170,006 : x
  2. Step 2: Convert to fraction form
    613,238/919,857 = 170,006/x
  3. Step 3: Cross multiply
    613,238x = 919,857 × 170,006
  4. Step 4: Simplify right side
    613,238x = 156,381,209,142
  5. Step 5: Solve for x
    x = 156,381,209,142/613,238
  6. Step 6: Final answer
    x = 255,009

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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.