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Finding the Fourth Proportional to 494,834.40, 742,105.80 and 195,215.40

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Solution

The fourth proportional to 494,834.40, 742,105.80 and 195,215.40 is: 292,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,834.40 : 742,105.80 = 195,215.40 : x
  2. Step 2: Convert to fraction form
    494,834.40/742,105.80 = 195,215.40/x
  3. Step 3: Cross multiply
    494,834.40x = 742,105.80 × 195,215.40
  4. Step 4: Simplify right side
    494,834.40x = 144,870,480,589.32
  5. Step 5: Solve for x
    x = 144,870,480,589.32/494,834.40
  6. Step 6: Final answer
    x = 292,765.58

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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.