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Finding the Fourth Proportional to 379,444.53, 523,633.64 and 209,678.66

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Solution

The fourth proportional to 379,444.53, 523,633.64 and 209,678.66 is: 289,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444.53 : 523,633.64 = 209,678.66 : x
  2. Step 2: Convert to fraction form
    379,444.53/523,633.64 = 209,678.66/x
  3. Step 3: Cross multiply
    379,444.53x = 523,633.64 × 209,678.66
  4. Step 4: Simplify right side
    379,444.53x = 109,794,796,299.56
  5. Step 5: Solve for x
    x = 109,794,796,299.56/379,444.53
  6. Step 6: Final answer
    x = 289,356.65

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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.