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Finding the Fourth Proportional to 259,851.90, 390,069.45 and 200,948.70

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Solution

The fourth proportional to 259,851.90, 390,069.45 and 200,948.70 is: 301,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,851.90 : 390,069.45 = 200,948.70 : x
  2. Step 2: Convert to fraction form
    259,851.90/390,069.45 = 200,948.70/x
  3. Step 3: Cross multiply
    259,851.90x = 390,069.45 × 200,948.70
  4. Step 4: Simplify right side
    259,851.90x = 78,383,948,887.22
  5. Step 5: Solve for x
    x = 78,383,948,887.22/259,851.90
  6. Step 6: Final answer
    x = 301,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.