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Finding the Fourth Proportional to 357,120.17, 492,748.85 and 206,129.69

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Solution

The fourth proportional to 357,120.17, 492,748.85 and 206,129.69 is: 284,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,120.17 : 492,748.85 = 206,129.69 : x
  2. Step 2: Convert to fraction form
    357,120.17/492,748.85 = 206,129.69/x
  3. Step 3: Cross multiply
    357,120.17x = 492,748.85 × 206,129.69
  4. Step 4: Simplify right side
    357,120.17x = 101,570,167,698.36
  5. Step 5: Solve for x
    x = 101,570,167,698.36/357,120.17
  6. Step 6: Final answer
    x = 284,414.54

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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.