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Finding the Fourth Proportional to 285,315.60, 427,858.20 and 98,230.80

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Solution

The fourth proportional to 285,315.60, 427,858.20 and 98,230.80 is: 147,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,315.60 : 427,858.20 = 98,230.80 : x
  2. Step 2: Convert to fraction form
    285,315.60/427,858.20 = 98,230.80/x
  3. Step 3: Cross multiply
    285,315.60x = 427,858.20 × 98,230.80
  4. Step 4: Simplify right side
    285,315.60x = 42,028,853,272.56
  5. Step 5: Solve for x
    x = 42,028,853,272.56/285,315.60
  6. Step 6: Final answer
    x = 147,306.54

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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.