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Finding the Fourth Proportional to 378,735.91, 522,666.49 and 208,980.97

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Solution

The fourth proportional to 378,735.91, 522,666.49 and 208,980.97 is: 288,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,735.91 : 522,666.49 = 208,980.97 : x
  2. Step 2: Convert to fraction form
    378,735.91/522,666.49 = 208,980.97/x
  3. Step 3: Cross multiply
    378,735.91x = 522,666.49 × 208,980.97
  4. Step 4: Simplify right side
    378,735.91x = 109,227,350,066.70
  5. Step 5: Solve for x
    x = 109,227,350,066.70/378,735.91
  6. Step 6: Final answer
    x = 288,399.77

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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.