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Finding the Fourth Proportional to 257,073.20, 384,953.70 and 204,585.20

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Solution

The fourth proportional to 257,073.20, 384,953.70 and 204,585.20 is: 306,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,073.20 : 384,953.70 = 204,585.20 : x
  2. Step 2: Convert to fraction form
    257,073.20/384,953.70 = 204,585.20/x
  3. Step 3: Cross multiply
    257,073.20x = 384,953.70 × 204,585.20
  4. Step 4: Simplify right side
    257,073.20x = 78,755,829,705.24
  5. Step 5: Solve for x
    x = 78,755,829,705.24/257,073.20
  6. Step 6: Final answer
    x = 306,355.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.