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Finding the Fourth Proportional to 492,673.76, 739,012.80 and 137,688.56

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Solution

The fourth proportional to 492,673.76, 739,012.80 and 137,688.56 is: 206,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,673.76 : 739,012.80 = 137,688.56 : x
  2. Step 2: Convert to fraction form
    492,673.76/739,012.80 = 137,688.56/x
  3. Step 3: Cross multiply
    492,673.76x = 739,012.80 × 137,688.56
  4. Step 4: Simplify right side
    492,673.76x = 101,753,608,253.57
  5. Step 5: Solve for x
    x = 101,753,608,253.57/492,673.76
  6. Step 6: Final answer
    x = 206,533.44

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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.