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Finding the Fourth Proportional to 289,792.31, 434,813.60 and 156,766.21

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Solution

The fourth proportional to 289,792.31, 434,813.60 and 156,766.21 is: 235,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.31 : 434,813.60 = 156,766.21 : x
  2. Step 2: Convert to fraction form
    289,792.31/434,813.60 = 156,766.21/x
  3. Step 3: Cross multiply
    289,792.31x = 434,813.60 × 156,766.21
  4. Step 4: Simplify right side
    289,792.31x = 68,164,079,433.34
  5. Step 5: Solve for x
    x = 68,164,079,433.34/289,792.31
  6. Step 6: Final answer
    x = 235,217.01

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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.