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Finding the Fourth Proportional to 285,880.50, 428,820.75 and 195,834.42

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Solution

The fourth proportional to 285,880.50, 428,820.75 and 195,834.42 is: 293,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,880.50 : 428,820.75 = 195,834.42 : x
  2. Step 2: Convert to fraction form
    285,880.50/428,820.75 = 195,834.42/x
  3. Step 3: Cross multiply
    285,880.50x = 428,820.75 × 195,834.42
  4. Step 4: Simplify right side
    285,880.50x = 83,977,862,860.22
  5. Step 5: Solve for x
    x = 83,977,862,860.22/285,880.50
  6. Step 6: Final answer
    x = 293,751.63

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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.