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Finding the Fourth Proportional to 289,596.15, 434,394.23 and 156,735.90

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Solution

The fourth proportional to 289,596.15, 434,394.23 and 156,735.90 is: 235,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,596.15 : 434,394.23 = 156,735.90 : x
  2. Step 2: Convert to fraction form
    289,596.15/434,394.23 = 156,735.90/x
  3. Step 3: Cross multiply
    289,596.15x = 434,394.23 × 156,735.90
  4. Step 4: Simplify right side
    289,596.15x = 68,085,169,810.18
  5. Step 5: Solve for x
    x = 68,085,169,810.18/289,596.15
  6. Step 6: Final answer
    x = 235,103.85

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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.