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Finding the Fourth Proportional to 289,785.50, 434,718.82 and 273,849.50

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Solution

The fourth proportional to 289,785.50, 434,718.82 and 273,849.50 is: 410,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,785.50 : 434,718.82 = 273,849.50 : x
  2. Step 2: Convert to fraction form
    289,785.50/434,718.82 = 273,849.50/x
  3. Step 3: Cross multiply
    289,785.50x = 434,718.82 × 273,849.50
  4. Step 4: Simplify right side
    289,785.50x = 119,047,531,497.59
  5. Step 5: Solve for x
    x = 119,047,531,497.59/289,785.50
  6. Step 6: Final answer
    x = 410,812.59

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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.