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Finding the Fourth Proportional to 355,125.78, 490,088.13 and 204,222.78

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Solution

The fourth proportional to 355,125.78, 490,088.13 and 204,222.78 is: 281,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,125.78 : 490,088.13 = 204,222.78 : x
  2. Step 2: Convert to fraction form
    355,125.78/490,088.13 = 204,222.78/x
  3. Step 3: Cross multiply
    355,125.78x = 490,088.13 × 204,222.78
  4. Step 4: Simplify right side
    355,125.78x = 100,087,160,353.60
  5. Step 5: Solve for x
    x = 100,087,160,353.60/355,125.78
  6. Step 6: Final answer
    x = 281,835.81

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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.