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Finding the Fourth Proportional to 285,765.06, 428,844.44 and 98,776.56

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Solution

The fourth proportional to 285,765.06, 428,844.44 and 98,776.56 is: 148,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,765.06 : 428,844.44 = 98,776.56 : x
  2. Step 2: Convert to fraction form
    285,765.06/428,844.44 = 98,776.56/x
  3. Step 3: Cross multiply
    285,765.06x = 428,844.44 × 98,776.56
  4. Step 4: Simplify right side
    285,765.06x = 42,359,780,413.43
  5. Step 5: Solve for x
    x = 42,359,780,413.43/285,765.06
  6. Step 6: Final answer
    x = 148,232.89

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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.