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Finding the Fourth Proportional to 379,362.74, 523,526.10 and 209,600.78

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Solution

The fourth proportional to 379,362.74, 523,526.10 and 209,600.78 is: 289,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,362.74 : 523,526.10 = 209,600.78 : x
  2. Step 2: Convert to fraction form
    379,362.74/523,526.10 = 209,600.78/x
  3. Step 3: Cross multiply
    379,362.74x = 523,526.10 × 209,600.78
  4. Step 4: Simplify right side
    379,362.74x = 109,731,478,910.36
  5. Step 5: Solve for x
    x = 109,731,478,910.36/379,362.74
  6. Step 6: Final answer
    x = 289,252.13

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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.