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Finding the Fourth Proportional to 309,511.53, 427,048.20 and 182,162.52

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Solution

The fourth proportional to 309,511.53, 427,048.20 and 182,162.52 is: 251,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,511.53 : 427,048.20 = 182,162.52 : x
  2. Step 2: Convert to fraction form
    309,511.53/427,048.20 = 182,162.52/x
  3. Step 3: Cross multiply
    309,511.53x = 427,048.20 × 182,162.52
  4. Step 4: Simplify right side
    309,511.53x = 77,792,176,273.46
  5. Step 5: Solve for x
    x = 77,792,176,273.46/309,511.53
  6. Step 6: Final answer
    x = 251,338.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.