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Finding the Fourth Proportional to 252,516.85, 378,866.39 and 156,342.15

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Solution

The fourth proportional to 252,516.85, 378,866.39 and 156,342.15 is: 234,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,516.85 : 378,866.39 = 156,342.15 : x
  2. Step 2: Convert to fraction form
    252,516.85/378,866.39 = 156,342.15/x
  3. Step 3: Cross multiply
    252,516.85x = 378,866.39 × 156,342.15
  4. Step 4: Simplify right side
    252,516.85x = 59,232,785,975.34
  5. Step 5: Solve for x
    x = 59,232,785,975.34/252,516.85
  6. Step 6: Final answer
    x = 234,569.64

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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.