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Finding the Fourth Proportional to 379,054.84, 523,099.58 and 209,288.56

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Solution

The fourth proportional to 379,054.84, 523,099.58 and 209,288.56 is: 288,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,054.84 : 523,099.58 = 209,288.56 : x
  2. Step 2: Convert to fraction form
    379,054.84/523,099.58 = 209,288.56/x
  3. Step 3: Cross multiply
    379,054.84x = 523,099.58 × 209,288.56
  4. Step 4: Simplify right side
    379,054.84x = 109,478,757,834.81
  5. Step 5: Solve for x
    x = 109,478,757,834.81/379,054.84
  6. Step 6: Final answer
    x = 288,820.37

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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.