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Finding the Fourth Proportional to 379,068.17, 523,100.34 and 209,298.65

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Solution

The fourth proportional to 379,068.17, 523,100.34 and 209,298.65 is: 288,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,068.17 : 523,100.34 = 209,298.65 : x
  2. Step 2: Convert to fraction form
    379,068.17/523,100.34 = 209,298.65/x
  3. Step 3: Cross multiply
    379,068.17x = 523,100.34 × 209,298.65
  4. Step 4: Simplify right side
    379,068.17x = 109,484,192,361.04
  5. Step 5: Solve for x
    x = 109,484,192,361.04/379,068.17
  6. Step 6: Final answer
    x = 288,824.55

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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.