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Finding the Fourth Proportional to 285,975.87, 428,999.57 and 86,295.93

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Solution

The fourth proportional to 285,975.87, 428,999.57 and 86,295.93 is: 129,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,975.87 : 428,999.57 = 86,295.93 : x
  2. Step 2: Convert to fraction form
    285,975.87/428,999.57 = 86,295.93/x
  3. Step 3: Cross multiply
    285,975.87x = 428,999.57 × 86,295.93
  4. Step 4: Simplify right side
    285,975.87x = 37,020,916,431.27
  5. Step 5: Solve for x
    x = 37,020,916,431.27/285,975.87
  6. Step 6: Final answer
    x = 129,454.69

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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.