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Finding the Fourth Proportional to 379,635.24, 523,870.32 and 209,856

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Solution

The fourth proportional to 379,635.24, 523,870.32 and 209,856 is: 289,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,635.24 : 523,870.32 = 209,856 : x
  2. Step 2: Convert to fraction form
    379,635.24/523,870.32 = 209,856/x
  3. Step 3: Cross multiply
    379,635.24x = 523,870.32 × 209,856
  4. Step 4: Simplify right side
    379,635.24x = 109,937,329,873.92
  5. Step 5: Solve for x
    x = 109,937,329,873.92/379,635.24
  6. Step 6: Final answer
    x = 289,586.74

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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.