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Finding the Fourth Proportional to 375,773.16, 518,565.87 and 206,007.42

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Solution

The fourth proportional to 375,773.16, 518,565.87 and 206,007.42 is: 284,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,773.16 : 518,565.87 = 206,007.42 : x
  2. Step 2: Convert to fraction form
    375,773.16/518,565.87 = 206,007.42/x
  3. Step 3: Cross multiply
    375,773.16x = 518,565.87 × 206,007.42
  4. Step 4: Simplify right side
    375,773.16x = 106,828,416,978.76
  5. Step 5: Solve for x
    x = 106,828,416,978.76/375,773.16
  6. Step 6: Final answer
    x = 284,289.64

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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.