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Finding the Fourth Proportional to 289,396.71, 434,111.46 and 89,745.48

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Solution

The fourth proportional to 289,396.71, 434,111.46 and 89,745.48 is: 134,623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.71 : 434,111.46 = 89,745.48 : x
  2. Step 2: Convert to fraction form
    289,396.71/434,111.46 = 89,745.48/x
  3. Step 3: Cross multiply
    289,396.71x = 434,111.46 × 89,745.48
  4. Step 4: Simplify right side
    289,396.71x = 38,959,539,180.64
  5. Step 5: Solve for x
    x = 38,959,539,180.64/289,396.71
  6. Step 6: Final answer
    x = 134,623.30

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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.