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Finding the Fourth Proportional to 285,690.54, 428,624.66 and 117,224.57

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Solution

The fourth proportional to 285,690.54, 428,624.66 and 117,224.57 is: 175,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,690.54 : 428,624.66 = 117,224.57 : x
  2. Step 2: Convert to fraction form
    285,690.54/428,624.66 = 117,224.57/x
  3. Step 3: Cross multiply
    285,690.54x = 428,624.66 × 117,224.57
  4. Step 4: Simplify right side
    285,690.54x = 50,245,340,413.51
  5. Step 5: Solve for x
    x = 50,245,340,413.51/285,690.54
  6. Step 6: Final answer
    x = 175,873.31

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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.