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Finding the Fourth Proportional to 379,464.73, 523,616.74 and 209,688.73

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Solution

The fourth proportional to 379,464.73, 523,616.74 and 209,688.73 is: 289,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,464.73 : 523,616.74 = 209,688.73 : x
  2. Step 2: Convert to fraction form
    379,464.73/523,616.74 = 209,688.73/x
  3. Step 3: Cross multiply
    379,464.73x = 523,616.74 × 209,688.73
  4. Step 4: Simplify right side
    379,464.73x = 109,796,529,217.34
  5. Step 5: Solve for x
    x = 109,796,529,217.34/379,464.73
  6. Step 6: Final answer
    x = 289,345.81

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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.