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Finding the Fourth Proportional to 285,765.91, 428,845.69 and 98,777.41

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Solution

The fourth proportional to 285,765.91, 428,845.69 and 98,777.41 is: 148,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,765.91 : 428,845.69 = 98,777.41 : x
  2. Step 2: Convert to fraction form
    285,765.91/428,845.69 = 98,777.41/x
  3. Step 3: Cross multiply
    285,765.91x = 428,845.69 × 98,777.41
  4. Step 4: Simplify right side
    285,765.91x = 42,360,265,599.22
  5. Step 5: Solve for x
    x = 42,360,265,599.22/285,765.91
  6. Step 6: Final answer
    x = 148,234.15

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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.