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Finding the Fourth Proportional to 272,406.56, 408,338.72 and 130,085.46

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Solution

The fourth proportional to 272,406.56, 408,338.72 and 130,085.46 is: 194,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,406.56 : 408,338.72 = 130,085.46 : x
  2. Step 2: Convert to fraction form
    272,406.56/408,338.72 = 130,085.46/x
  3. Step 3: Cross multiply
    272,406.56x = 408,338.72 × 130,085.46
  4. Step 4: Simplify right side
    272,406.56x = 53,118,929,576.58
  5. Step 5: Solve for x
    x = 53,118,929,576.58/272,406.56
  6. Step 6: Final answer
    x = 194,998.72

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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.