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Finding the Fourth Proportional to 208,340.69, 312,511.19 and 50,569.29

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Solution

The fourth proportional to 208,340.69, 312,511.19 and 50,569.29 is: 75,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,340.69 : 312,511.19 = 50,569.29 : x
  2. Step 2: Convert to fraction form
    208,340.69/312,511.19 = 50,569.29/x
  3. Step 3: Cross multiply
    208,340.69x = 312,511.19 × 50,569.29
  4. Step 4: Simplify right side
    208,340.69x = 15,803,468,742.51
  5. Step 5: Solve for x
    x = 15,803,468,742.51/208,340.69
  6. Step 6: Final answer
    x = 75,853.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.