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Finding the Fourth Proportional to 442,065, 610,049.70 and 240,861

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Solution

The fourth proportional to 442,065, 610,049.70 and 240,861 is: 332,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,065 : 610,049.70 = 240,861 : x
  2. Step 2: Convert to fraction form
    442,065/610,049.70 = 240,861/x
  3. Step 3: Cross multiply
    442,065x = 610,049.70 × 240,861
  4. Step 4: Simplify right side
    442,065x = 146,937,180,791.70
  5. Step 5: Solve for x
    x = 146,937,180,791.70/442,065
  6. Step 6: Final answer
    x = 332,388.18

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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.