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Finding the Fourth Proportional to 285,455.83, 428,183.75 and 98,452.75

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Solution

The fourth proportional to 285,455.83, 428,183.75 and 98,452.75 is: 147,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,455.83 : 428,183.75 = 98,452.75 : x
  2. Step 2: Convert to fraction form
    285,455.83/428,183.75 = 98,452.75/x
  3. Step 3: Cross multiply
    285,455.83x = 428,183.75 × 98,452.75
  4. Step 4: Simplify right side
    285,455.83x = 42,155,867,692.81
  5. Step 5: Solve for x
    x = 42,155,867,692.81/285,455.83
  6. Step 6: Final answer
    x = 147,679.13

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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.