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Finding the Fourth Proportional to 285,556.50, 428,337.72 and 117,033.57

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Solution

The fourth proportional to 285,556.50, 428,337.72 and 117,033.57 is: 175,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,556.50 : 428,337.72 = 117,033.57 : x
  2. Step 2: Convert to fraction form
    285,556.50/428,337.72 = 117,033.57/x
  3. Step 3: Cross multiply
    285,556.50x = 428,337.72 × 117,033.57
  4. Step 4: Simplify right side
    285,556.50x = 50,129,892,537.26
  5. Step 5: Solve for x
    x = 50,129,892,537.26/285,556.50
  6. Step 6: Final answer
    x = 175,551.57

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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.