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Finding the Fourth Proportional to 379,582.29, 523,803.11 and 209,806.29

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Solution

The fourth proportional to 379,582.29, 523,803.11 and 209,806.29 is: 289,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,582.29 : 523,803.11 = 209,806.29 : x
  2. Step 2: Convert to fraction form
    379,582.29/523,803.11 = 209,806.29/x
  3. Step 3: Cross multiply
    379,582.29x = 523,803.11 × 209,806.29
  4. Step 4: Simplify right side
    379,582.29x = 109,897,186,150.53
  5. Step 5: Solve for x
    x = 109,897,186,150.53/379,582.29
  6. Step 6: Final answer
    x = 289,521.37

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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.