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Finding the Fourth Proportional to 375,885.89, 518,746.15 and 206,120.02

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Solution

The fourth proportional to 375,885.89, 518,746.15 and 206,120.02 is: 284,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,885.89 : 518,746.15 = 206,120.02 : x
  2. Step 2: Convert to fraction form
    375,885.89/518,746.15 = 206,120.02/x
  3. Step 3: Cross multiply
    375,885.89x = 518,746.15 × 206,120.02
  4. Step 4: Simplify right side
    375,885.89x = 106,923,965,773.71
  5. Step 5: Solve for x
    x = 106,923,965,773.71/375,885.89
  6. Step 6: Final answer
    x = 284,458.58

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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.