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Finding the Fourth Proportional to 638,283.76, 957,449.94 and 238,882.48

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Solution

The fourth proportional to 638,283.76, 957,449.94 and 238,882.48 is: 358,332.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,283.76 : 957,449.94 = 238,882.48 : x
  2. Step 2: Convert to fraction form
    638,283.76/957,449.94 = 238,882.48/x
  3. Step 3: Cross multiply
    638,283.76x = 957,449.94 × 238,882.48
  4. Step 4: Simplify right side
    638,283.76x = 228,718,016,143.05
  5. Step 5: Solve for x
    x = 228,718,016,143.05/638,283.76
  6. Step 6: Final answer
    x = 358,332.81

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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.