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Finding the Fourth Proportional to 259,876.89, 389,271.59 and 209,000.91

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Solution

The fourth proportional to 259,876.89, 389,271.59 and 209,000.91 is: 313,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,876.89 : 389,271.59 = 209,000.91 : x
  2. Step 2: Convert to fraction form
    259,876.89/389,271.59 = 209,000.91/x
  3. Step 3: Cross multiply
    259,876.89x = 389,271.59 × 209,000.91
  4. Step 4: Simplify right side
    259,876.89x = 81,358,115,556.01
  5. Step 5: Solve for x
    x = 81,358,115,556.01/259,876.89
  6. Step 6: Final answer
    x = 313,064.06

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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.