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Finding the Fourth Proportional to 285,362.76, 428,072.46 and 105,495.33

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Solution

The fourth proportional to 285,362.76, 428,072.46 and 105,495.33 is: 158,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,362.76 : 428,072.46 = 105,495.33 : x
  2. Step 2: Convert to fraction form
    285,362.76/428,072.46 = 105,495.33/x
  3. Step 3: Cross multiply
    285,362.76x = 428,072.46 × 105,495.33
  4. Step 4: Simplify right side
    285,362.76x = 45,159,645,431.61
  5. Step 5: Solve for x
    x = 45,159,645,431.61/285,362.76
  6. Step 6: Final answer
    x = 158,253.46

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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.