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Finding the Fourth Proportional to 268,785.69, 370,910.42 and 147,938.45

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Solution

The fourth proportional to 268,785.69, 370,910.42 and 147,938.45 is: 204,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,785.69 : 370,910.42 = 147,938.45 : x
  2. Step 2: Convert to fraction form
    268,785.69/370,910.42 = 147,938.45/x
  3. Step 3: Cross multiply
    268,785.69x = 370,910.42 × 147,938.45
  4. Step 4: Simplify right side
    268,785.69x = 54,871,910,769.10
  5. Step 5: Solve for x
    x = 54,871,910,769.10/268,785.69
  6. Step 6: Final answer
    x = 204,147.44

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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.