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Finding the Fourth Proportional to 492,470.70, 738,159.30 and 192,851.70

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Solution

The fourth proportional to 492,470.70, 738,159.30 and 192,851.70 is: 289,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,470.70 : 738,159.30 = 192,851.70 : x
  2. Step 2: Convert to fraction form
    492,470.70/738,159.30 = 192,851.70/x
  3. Step 3: Cross multiply
    492,470.70x = 738,159.30 × 192,851.70
  4. Step 4: Simplify right side
    492,470.70x = 142,355,275,875.81
  5. Step 5: Solve for x
    x = 142,355,275,875.81/492,470.70
  6. Step 6: Final answer
    x = 289,063.44

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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.