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Finding the Fourth Proportional to 245,020.98, 338,165.64 and 149,583

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Solution

The fourth proportional to 245,020.98, 338,165.64 and 149,583 is: 206,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,020.98 : 338,165.64 = 149,583 : x
  2. Step 2: Convert to fraction form
    245,020.98/338,165.64 = 149,583/x
  3. Step 3: Cross multiply
    245,020.98x = 338,165.64 × 149,583
  4. Step 4: Simplify right side
    245,020.98x = 50,583,830,928.12
  5. Step 5: Solve for x
    x = 50,583,830,928.12/245,020.98
  6. Step 6: Final answer
    x = 206,446.94

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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.