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Finding the Fourth Proportional to 379,448.20, 523,634.34 and 209,672.20

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Solution

The fourth proportional to 379,448.20, 523,634.34 and 209,672.20 is: 289,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,448.20 : 523,634.34 = 209,672.20 : x
  2. Step 2: Convert to fraction form
    379,448.20/523,634.34 = 209,672.20/x
  3. Step 3: Cross multiply
    379,448.20x = 523,634.34 × 209,672.20
  4. Step 4: Simplify right side
    379,448.20x = 109,791,564,063.35
  5. Step 5: Solve for x
    x = 109,791,564,063.35/379,448.20
  6. Step 6: Final answer
    x = 289,345.33

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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.