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Finding the Fourth Proportional to 289,396.50, 434,111.16 and 89,745.27

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Solution

The fourth proportional to 289,396.50, 434,111.16 and 89,745.27 is: 134,622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.50 : 434,111.16 = 89,745.27 : x
  2. Step 2: Convert to fraction form
    289,396.50/434,111.16 = 89,745.27/x
  3. Step 3: Cross multiply
    289,396.50x = 434,111.16 × 89,745.27
  4. Step 4: Simplify right side
    289,396.50x = 38,959,423,358.13
  5. Step 5: Solve for x
    x = 38,959,423,358.13/289,396.50
  6. Step 6: Final answer
    x = 134,622.99

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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.