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Finding the Fourth Proportional to 357,540.54, 493,476.29 and 202,519.54

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Solution

The fourth proportional to 357,540.54, 493,476.29 and 202,519.54 is: 279,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,540.54 : 493,476.29 = 202,519.54 : x
  2. Step 2: Convert to fraction form
    357,540.54/493,476.29 = 202,519.54/x
  3. Step 3: Cross multiply
    357,540.54x = 493,476.29 × 202,519.54
  4. Step 4: Simplify right side
    357,540.54x = 99,938,591,251.71
  5. Step 5: Solve for x
    x = 99,938,591,251.71/357,540.54
  6. Step 6: Final answer
    x = 279,516.81

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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.