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Finding the Fourth Proportional to 492,920.70, 738,834.30 and 193,301.70

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Solution

The fourth proportional to 492,920.70, 738,834.30 and 193,301.70 is: 289,738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,920.70 : 738,834.30 = 193,301.70 : x
  2. Step 2: Convert to fraction form
    492,920.70/738,834.30 = 193,301.70/x
  3. Step 3: Cross multiply
    492,920.70x = 738,834.30 × 193,301.70
  4. Step 4: Simplify right side
    492,920.70x = 142,817,926,208.31
  5. Step 5: Solve for x
    x = 142,817,926,208.31/492,920.70
  6. Step 6: Final answer
    x = 289,738.14

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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.