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Finding the Fourth Proportional to 282,601.50, 423,903.21 and 85,609.50

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Solution

The fourth proportional to 282,601.50, 423,903.21 and 85,609.50 is: 128,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,601.50 : 423,903.21 = 85,609.50 : x
  2. Step 2: Convert to fraction form
    282,601.50/423,903.21 = 85,609.50/x
  3. Step 3: Cross multiply
    282,601.50x = 423,903.21 × 85,609.50
  4. Step 4: Simplify right side
    282,601.50x = 36,290,141,856.50
  5. Step 5: Solve for x
    x = 36,290,141,856.50/282,601.50
  6. Step 6: Final answer
    x = 128,414.54

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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.