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Finding the Fourth Proportional to 384,366.72, 530,425.92 and 214,600.80

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Solution

The fourth proportional to 384,366.72, 530,425.92 and 214,600.80 is: 296,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,366.72 : 530,425.92 = 214,600.80 : x
  2. Step 2: Convert to fraction form
    384,366.72/530,425.92 = 214,600.80/x
  3. Step 3: Cross multiply
    384,366.72x = 530,425.92 × 214,600.80
  4. Step 4: Simplify right side
    384,366.72x = 113,829,826,772.74
  5. Step 5: Solve for x
    x = 113,829,826,772.74/384,366.72
  6. Step 6: Final answer
    x = 296,149.02

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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.