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Finding the Fourth Proportional to 289,597.15, 434,395.73 and 156,736.90

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Solution

The fourth proportional to 289,597.15, 434,395.73 and 156,736.90 is: 235,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,597.15 : 434,395.73 = 156,736.90 : x
  2. Step 2: Convert to fraction form
    289,597.15/434,395.73 = 156,736.90/x
  3. Step 3: Cross multiply
    289,597.15x = 434,395.73 × 156,736.90
  4. Step 4: Simplify right side
    289,597.15x = 68,085,840,093.44
  5. Step 5: Solve for x
    x = 68,085,840,093.44/289,597.15
  6. Step 6: Final answer
    x = 235,105.35

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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.