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Finding the Fourth Proportional to 268,838.16, 370,998 and 147,991.60

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Solution

The fourth proportional to 268,838.16, 370,998 and 147,991.60 is: 204,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,838.16 : 370,998 = 147,991.60 : x
  2. Step 2: Convert to fraction form
    268,838.16/370,998 = 147,991.60/x
  3. Step 3: Cross multiply
    268,838.16x = 370,998 × 147,991.60
  4. Step 4: Simplify right side
    268,838.16x = 54,904,587,616.80
  5. Step 5: Solve for x
    x = 54,904,587,616.80/268,838.16
  6. Step 6: Final answer
    x = 204,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.