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Finding the Fourth Proportional to 568,916.31, 853,711.13 and 209,339.66

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Solution

The fourth proportional to 568,916.31, 853,711.13 and 209,339.66 is: 314,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,916.31 : 853,711.13 = 209,339.66 : x
  2. Step 2: Convert to fraction form
    568,916.31/853,711.13 = 209,339.66/x
  3. Step 3: Cross multiply
    568,916.31x = 853,711.13 × 209,339.66
  4. Step 4: Simplify right side
    568,916.31x = 178,715,592,377.16
  5. Step 5: Solve for x
    x = 178,715,592,377.16/568,916.31
  6. Step 6: Final answer
    x = 314,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.