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Finding the Fourth Proportional to 378,853.29, 522,803.79 and 209,083.77

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Solution

The fourth proportional to 378,853.29, 522,803.79 and 209,083.77 is: 288,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,853.29 : 522,803.79 = 209,083.77 : x
  2. Step 2: Convert to fraction form
    378,853.29/522,803.79 = 209,083.77/x
  3. Step 3: Cross multiply
    378,853.29x = 522,803.79 × 209,083.77
  4. Step 4: Simplify right side
    378,853.29x = 109,309,787,383.49
  5. Step 5: Solve for x
    x = 109,309,787,383.49/378,853.29
  6. Step 6: Final answer
    x = 288,528.01

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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.