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Finding the Fourth Proportional to 358,807.94, 495,120.87 and 205,858.73

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Solution

The fourth proportional to 358,807.94, 495,120.87 and 205,858.73 is: 284,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,807.94 : 495,120.87 = 205,858.73 : x
  2. Step 2: Convert to fraction form
    358,807.94/495,120.87 = 205,858.73/x
  3. Step 3: Cross multiply
    358,807.94x = 495,120.87 × 205,858.73
  4. Step 4: Simplify right side
    358,807.94x = 101,924,951,019.09
  5. Step 5: Solve for x
    x = 101,924,951,019.09/358,807.94
  6. Step 6: Final answer
    x = 284,065.49

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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.