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Finding the Fourth Proportional to 409,236, 613,854 and 113,748

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Solution

The fourth proportional to 409,236, 613,854 and 113,748 is: 170,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,236 : 613,854 = 113,748 : x
  2. Step 2: Convert to fraction form
    409,236/613,854 = 113,748/x
  3. Step 3: Cross multiply
    409,236x = 613,854 × 113,748
  4. Step 4: Simplify right side
    409,236x = 69,824,664,792
  5. Step 5: Solve for x
    x = 69,824,664,792/409,236
  6. Step 6: Final answer
    x = 170,622

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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.