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Finding the Fourth Proportional to 379,013.71, 523,039.65 and 206,931.67

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Solution

The fourth proportional to 379,013.71, 523,039.65 and 206,931.67 is: 285,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,013.71 : 523,039.65 = 206,931.67 : x
  2. Step 2: Convert to fraction form
    379,013.71/523,039.65 = 206,931.67/x
  3. Step 3: Cross multiply
    379,013.71x = 523,039.65 × 206,931.67
  4. Step 4: Simplify right side
    379,013.71x = 108,233,468,250.72
  5. Step 5: Solve for x
    x = 108,233,468,250.72/379,013.71
  6. Step 6: Final answer
    x = 285,566.10

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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.