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Finding the Fourth Proportional to 257,595.78, 355,639.77 and 204,096.90

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Solution

The fourth proportional to 257,595.78, 355,639.77 and 204,096.90 is: 281,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,595.78 : 355,639.77 = 204,096.90 : x
  2. Step 2: Convert to fraction form
    257,595.78/355,639.77 = 204,096.90/x
  3. Step 3: Cross multiply
    257,595.78x = 355,639.77 × 204,096.90
  4. Step 4: Simplify right side
    257,595.78x = 72,584,974,573.71
  5. Step 5: Solve for x
    x = 72,584,974,573.71/257,595.78
  6. Step 6: Final answer
    x = 281,778.59

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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.