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Finding the Fourth Proportional to 561,409.21, 842,120.50 and 156,576.79

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Solution

The fourth proportional to 561,409.21, 842,120.50 and 156,576.79 is: 234,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,409.21 : 842,120.50 = 156,576.79 : x
  2. Step 2: Convert to fraction form
    561,409.21/842,120.50 = 156,576.79/x
  3. Step 3: Cross multiply
    561,409.21x = 842,120.50 × 156,576.79
  4. Step 4: Simplify right side
    561,409.21x = 131,856,523,269.52
  5. Step 5: Solve for x
    x = 131,856,523,269.52/561,409.21
  6. Step 6: Final answer
    x = 234,867.05

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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.