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Finding the Fourth Proportional to 379,545.78, 523,775.25 and 207,463.98

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Solution

The fourth proportional to 379,545.78, 523,775.25 and 207,463.98 is: 286,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,545.78 : 523,775.25 = 207,463.98 : x
  2. Step 2: Convert to fraction form
    379,545.78/523,775.25 = 207,463.98/x
  3. Step 3: Cross multiply
    379,545.78x = 523,775.25 × 207,463.98
  4. Step 4: Simplify right side
    379,545.78x = 108,664,497,990.50
  5. Step 5: Solve for x
    x = 108,664,497,990.50/379,545.78
  6. Step 6: Final answer
    x = 286,301.43

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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.