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Finding the Fourth Proportional to 285,855.40, 428,774.30 and 75,494.44

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Solution

The fourth proportional to 285,855.40, 428,774.30 and 75,494.44 is: 113,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,855.40 : 428,774.30 = 75,494.44 : x
  2. Step 2: Convert to fraction form
    285,855.40/428,774.30 = 75,494.44/x
  3. Step 3: Cross multiply
    285,855.40x = 428,774.30 × 75,494.44
  4. Step 4: Simplify right side
    285,855.40x = 32,370,075,664.89
  5. Step 5: Solve for x
    x = 32,370,075,664.89/285,855.40
  6. Step 6: Final answer
    x = 113,239.34

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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.