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Finding the Fourth Proportional to 289,648.20, 435,638.70 and 259,321.80

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Solution

The fourth proportional to 289,648.20, 435,638.70 and 259,321.80 is: 390,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,648.20 : 435,638.70 = 259,321.80 : x
  2. Step 2: Convert to fraction form
    289,648.20/435,638.70 = 259,321.80/x
  3. Step 3: Cross multiply
    289,648.20x = 435,638.70 × 259,321.80
  4. Step 4: Simplify right side
    289,648.20x = 112,970,611,833.66
  5. Step 5: Solve for x
    x = 112,970,611,833.66/289,648.20
  6. Step 6: Final answer
    x = 390,026.98

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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.