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Finding the Fourth Proportional to 379,064.17, 523,094.84 and 209,294.65

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Solution

The fourth proportional to 379,064.17, 523,094.84 and 209,294.65 is: 288,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,064.17 : 523,094.84 = 209,294.65 : x
  2. Step 2: Convert to fraction form
    379,064.17/523,094.84 = 209,294.65/x
  3. Step 3: Cross multiply
    379,064.17x = 523,094.84 × 209,294.65
  4. Step 4: Simplify right side
    379,064.17x = 109,480,948,839.13
  5. Step 5: Solve for x
    x = 109,480,948,839.13/379,064.17
  6. Step 6: Final answer
    x = 288,819.04

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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.