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Finding the Fourth Proportional to 285,937.70, 428,230.26 and 248,293.15

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Solution

The fourth proportional to 285,937.70, 428,230.26 and 248,293.15 is: 371,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,937.70 : 428,230.26 = 248,293.15 : x
  2. Step 2: Convert to fraction form
    285,937.70/428,230.26 = 248,293.15/x
  3. Step 3: Cross multiply
    285,937.70x = 428,230.26 × 248,293.15
  4. Step 4: Simplify right side
    285,937.70x = 106,326,639,110.14
  5. Step 5: Solve for x
    x = 106,326,639,110.14/285,937.70
  6. Step 6: Final answer
    x = 371,852.47

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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.