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Finding the Fourth Proportional to 379,118.96, 523,180.88 and 209,349.44

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Solution

The fourth proportional to 379,118.96, 523,180.88 and 209,349.44 is: 288,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,118.96 : 523,180.88 = 209,349.44 : x
  2. Step 2: Convert to fraction form
    379,118.96/523,180.88 = 209,349.44/x
  3. Step 3: Cross multiply
    379,118.96x = 523,180.88 × 209,349.44
  4. Step 4: Simplify right side
    379,118.96x = 109,527,624,246.71
  5. Step 5: Solve for x
    x = 109,527,624,246.71/379,118.96
  6. Step 6: Final answer
    x = 288,900.41

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1.5x scale

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.