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Finding the Fourth Proportional to 380,272.76, 570,423.72 and 169,912.52

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Solution

The fourth proportional to 380,272.76, 570,423.72 and 169,912.52 is: 254,875.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,272.76 : 570,423.72 = 169,912.52 : x
  2. Step 2: Convert to fraction form
    380,272.76/570,423.72 = 169,912.52/x
  3. Step 3: Cross multiply
    380,272.76x = 570,423.72 × 169,912.52
  4. Step 4: Simplify right side
    380,272.76x = 96,922,131,732.97
  5. Step 5: Solve for x
    x = 96,922,131,732.97/380,272.76
  6. Step 6: Final answer
    x = 254,875.29

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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.