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Finding the Fourth Proportional to 359,252.70, 495,801.90 and 206,310.94

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Solution

The fourth proportional to 359,252.70, 495,801.90 and 206,310.94 is: 284,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,252.70 : 495,801.90 = 206,310.94 : x
  2. Step 2: Convert to fraction form
    359,252.70/495,801.90 = 206,310.94/x
  3. Step 3: Cross multiply
    359,252.70x = 495,801.90 × 206,310.94
  4. Step 4: Simplify right side
    359,252.70x = 102,289,356,042.79
  5. Step 5: Solve for x
    x = 102,289,356,042.79/359,252.70
  6. Step 6: Final answer
    x = 284,728.15

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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.