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Finding the Fourth Proportional to 378,991.29, 522,994.28 and 209,221.77

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Solution

The fourth proportional to 378,991.29, 522,994.28 and 209,221.77 is: 288,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,991.29 : 522,994.28 = 209,221.77 : x
  2. Step 2: Convert to fraction form
    378,991.29/522,994.28 = 209,221.77/x
  3. Step 3: Cross multiply
    378,991.29x = 522,994.28 × 209,221.77
  4. Step 4: Simplify right side
    378,991.29x = 109,421,787,915.37
  5. Step 5: Solve for x
    x = 109,421,787,915.37/378,991.29
  6. Step 6: Final answer
    x = 288,718.48

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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.