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Finding the Fourth Proportional to 285,751.24, 428,594.02 and 75,405.58

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Solution

The fourth proportional to 285,751.24, 428,594.02 and 75,405.58 is: 113,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.24 : 428,594.02 = 75,405.58 : x
  2. Step 2: Convert to fraction form
    285,751.24/428,594.02 = 75,405.58/x
  3. Step 3: Cross multiply
    285,751.24x = 428,594.02 × 75,405.58
  4. Step 4: Simplify right side
    285,751.24x = 32,318,379,402.63
  5. Step 5: Solve for x
    x = 32,318,379,402.63/285,751.24
  6. Step 6: Final answer
    x = 113,099.70

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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.