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Finding the Fourth Proportional to 383,097.73, 528,674.87 and 222,046.20

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Solution

The fourth proportional to 383,097.73, 528,674.87 and 222,046.20 is: 306,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097.73 : 528,674.87 = 222,046.20 : x
  2. Step 2: Convert to fraction form
    383,097.73/528,674.87 = 222,046.20/x
  3. Step 3: Cross multiply
    383,097.73x = 528,674.87 × 222,046.20
  4. Step 4: Simplify right side
    383,097.73x = 117,390,243,242.57
  5. Step 5: Solve for x
    x = 117,390,243,242.57/383,097.73
  6. Step 6: Final answer
    x = 306,423.75

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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.