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Finding the Fourth Proportional to 384,114.66, 530,305.29 and 276,961.38

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Solution

The fourth proportional to 384,114.66, 530,305.29 and 276,961.38 is: 382,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.66 : 530,305.29 = 276,961.38 : x
  2. Step 2: Convert to fraction form
    384,114.66/530,305.29 = 276,961.38/x
  3. Step 3: Cross multiply
    384,114.66x = 530,305.29 × 276,961.38
  4. Step 4: Simplify right side
    384,114.66x = 146,874,084,939.70
  5. Step 5: Solve for x
    x = 146,874,084,939.70/384,114.66
  6. Step 6: Final answer
    x = 382,370.42

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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.