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Finding the Fourth Proportional to 713,794.50, 985,123.89 and 411,988.50

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Solution

The fourth proportional to 713,794.50, 985,123.89 and 411,988.50 is: 568,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,794.50 : 985,123.89 = 411,988.50 : x
  2. Step 2: Convert to fraction form
    713,794.50/985,123.89 = 411,988.50/x
  3. Step 3: Cross multiply
    713,794.50x = 985,123.89 × 411,988.50
  4. Step 4: Simplify right side
    713,794.50x = 405,859,713,755.27
  5. Step 5: Solve for x
    x = 405,859,713,755.27/713,794.50
  6. Step 6: Final answer
    x = 568,594.62

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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.