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Finding the Fourth Proportional to 384,377.36, 530,439.72 and 214,651.76

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Solution

The fourth proportional to 384,377.36, 530,439.72 and 214,651.76 is: 296,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,377.36 : 530,439.72 = 214,651.76 : x
  2. Step 2: Convert to fraction form
    384,377.36/530,439.72 = 214,651.76/x
  3. Step 3: Cross multiply
    384,377.36x = 530,439.72 × 214,651.76
  4. Step 4: Simplify right side
    384,377.36x = 113,859,819,471.91
  5. Step 5: Solve for x
    x = 113,859,819,471.91/384,377.36
  6. Step 6: Final answer
    x = 296,218.85

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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.