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Finding the Fourth Proportional to 208,405.44, 312,730.88 and 144,413.82

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Solution

The fourth proportional to 208,405.44, 312,730.88 and 144,413.82 is: 216,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,405.44 : 312,730.88 = 144,413.82 : x
  2. Step 2: Convert to fraction form
    208,405.44/312,730.88 = 144,413.82/x
  3. Step 3: Cross multiply
    208,405.44x = 312,730.88 × 144,413.82
  4. Step 4: Simplify right side
    208,405.44x = 45,162,660,290.69
  5. Step 5: Solve for x
    x = 45,162,660,290.69/208,405.44
  6. Step 6: Final answer
    x = 216,705.76

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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.