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Finding the Fourth Proportional to 285,883.50, 428,825.25 and 195,837.42

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Solution

The fourth proportional to 285,883.50, 428,825.25 and 195,837.42 is: 293,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,883.50 : 428,825.25 = 195,837.42 : x
  2. Step 2: Convert to fraction form
    285,883.50/428,825.25 = 195,837.42/x
  3. Step 3: Cross multiply
    285,883.50x = 428,825.25 × 195,837.42
  4. Step 4: Simplify right side
    285,883.50x = 83,980,030,590.86
  5. Step 5: Solve for x
    x = 83,980,030,590.86/285,883.50
  6. Step 6: Final answer
    x = 293,756.13

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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.