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Finding the Fourth Proportional to 274,425.40, 411,983.70 and 148,166.20

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Solution

The fourth proportional to 274,425.40, 411,983.70 and 148,166.20 is: 222,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,425.40 : 411,983.70 = 148,166.20 : x
  2. Step 2: Convert to fraction form
    274,425.40/411,983.70 = 148,166.20/x
  3. Step 3: Cross multiply
    274,425.40x = 411,983.70 × 148,166.20
  4. Step 4: Simplify right side
    274,425.40x = 61,042,059,290.94
  5. Step 5: Solve for x
    x = 61,042,059,290.94/274,425.40
  6. Step 6: Final answer
    x = 222,435.89

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1.5x scale

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.