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Finding the Fourth Proportional to 375,886.42, 518,746.88 and 206,120.54

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Solution

The fourth proportional to 375,886.42, 518,746.88 and 206,120.54 is: 284,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,886.42 : 518,746.88 = 206,120.54 : x
  2. Step 2: Convert to fraction form
    375,886.42/518,746.88 = 206,120.54/x
  3. Step 3: Cross multiply
    375,886.42x = 518,746.88 × 206,120.54
  4. Step 4: Simplify right side
    375,886.42x = 106,924,387,028.92
  5. Step 5: Solve for x
    x = 106,924,387,028.92/375,886.42
  6. Step 6: Final answer
    x = 284,459.30

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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.