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Finding the Fourth Proportional to 384,141.72, 530,115.66 and 214,372.20

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Solution

The fourth proportional to 384,141.72, 530,115.66 and 214,372.20 is: 295,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,141.72 : 530,115.66 = 214,372.20 : x
  2. Step 2: Convert to fraction form
    384,141.72/530,115.66 = 214,372.20/x
  3. Step 3: Cross multiply
    384,141.72x = 530,115.66 × 214,372.20
  4. Step 4: Simplify right side
    384,141.72x = 113,642,060,288.65
  5. Step 5: Solve for x
    x = 113,642,060,288.65/384,141.72
  6. Step 6: Final answer
    x = 295,833.68

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1.5x scale

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.