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Finding the Fourth Proportional to 358,974.62, 495,386.92 and 206,000.64

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Solution

The fourth proportional to 358,974.62, 495,386.92 and 206,000.64 is: 284,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,974.62 : 495,386.92 = 206,000.64 : x
  2. Step 2: Convert to fraction form
    358,974.62/495,386.92 = 206,000.64/x
  3. Step 3: Cross multiply
    358,974.62x = 495,386.92 × 206,000.64
  4. Step 4: Simplify right side
    358,974.62x = 102,050,022,567.63
  5. Step 5: Solve for x
    x = 102,050,022,567.63/358,974.62
  6. Step 6: Final answer
    x = 284,282.00

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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.