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Finding the Fourth Proportional to 378,345.16, 522,119.89 and 208,585.36

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Solution

The fourth proportional to 378,345.16, 522,119.89 and 208,585.36 is: 287,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,345.16 : 522,119.89 = 208,585.36 : x
  2. Step 2: Convert to fraction form
    378,345.16/522,119.89 = 208,585.36/x
  3. Step 3: Cross multiply
    378,345.16x = 522,119.89 × 208,585.36
  4. Step 4: Simplify right side
    378,345.16x = 108,906,565,218.81
  5. Step 5: Solve for x
    x = 108,906,565,218.81/378,345.16
  6. Step 6: Final answer
    x = 287,849.76

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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.