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Finding the Fourth Proportional to 198,455.40, 296,954.10 and 145,967.40

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Solution

The fourth proportional to 198,455.40, 296,954.10 and 145,967.40 is: 218,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,455.40 : 296,954.10 = 145,967.40 : x
  2. Step 2: Convert to fraction form
    198,455.40/296,954.10 = 145,967.40/x
  3. Step 3: Cross multiply
    198,455.40x = 296,954.10 × 145,967.40
  4. Step 4: Simplify right side
    198,455.40x = 43,345,617,896.34
  5. Step 5: Solve for x
    x = 43,345,617,896.34/198,455.40
  6. Step 6: Final answer
    x = 218,414.91

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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.