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Finding the Fourth Proportional to 289,736.06, 434,728.94 and 156,709.98

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Solution

The fourth proportional to 289,736.06, 434,728.94 and 156,709.98 is: 235,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,736.06 : 434,728.94 = 156,709.98 : x
  2. Step 2: Convert to fraction form
    289,736.06/434,728.94 = 156,709.98/x
  3. Step 3: Cross multiply
    289,736.06x = 434,728.94 × 156,709.98
  4. Step 4: Simplify right side
    289,736.06x = 68,126,362,709.27
  5. Step 5: Solve for x
    x = 68,126,362,709.27/289,736.06
  6. Step 6: Final answer
    x = 235,132.50

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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.