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Finding the Fourth Proportional to 382,435.70, 527,447.08 and 339,446.54

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Solution

The fourth proportional to 382,435.70, 527,447.08 and 339,446.54 is: 468,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,435.70 : 527,447.08 = 339,446.54 : x
  2. Step 2: Convert to fraction form
    382,435.70/527,447.08 = 339,446.54/x
  3. Step 3: Cross multiply
    382,435.70x = 527,447.08 × 339,446.54
  4. Step 4: Simplify right side
    382,435.70x = 179,040,082,853.25
  5. Step 5: Solve for x
    x = 179,040,082,853.25/382,435.70
  6. Step 6: Final answer
    x = 468,157.35

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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.