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Finding the Fourth Proportional to 378,336.51, 522,088.20 and 206,250.39

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Solution

The fourth proportional to 378,336.51, 522,088.20 and 206,250.39 is: 284,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,336.51 : 522,088.20 = 206,250.39 : x
  2. Step 2: Convert to fraction form
    378,336.51/522,088.20 = 206,250.39/x
  3. Step 3: Cross multiply
    378,336.51x = 522,088.20 × 206,250.39
  4. Step 4: Simplify right side
    378,336.51x = 107,680,894,864.40
  5. Step 5: Solve for x
    x = 107,680,894,864.40/378,336.51
  6. Step 6: Final answer
    x = 284,616.72

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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.