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Finding the Fourth Proportional to 285,539.72, 428,310.54 and 72,307.55

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Solution

The fourth proportional to 285,539.72, 428,310.54 and 72,307.55 is: 108,461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,539.72 : 428,310.54 = 72,307.55 : x
  2. Step 2: Convert to fraction form
    285,539.72/428,310.54 = 72,307.55/x
  3. Step 3: Cross multiply
    285,539.72x = 428,310.54 × 72,307.55
  4. Step 4: Simplify right side
    285,539.72x = 30,970,086,857.35
  5. Step 5: Solve for x
    x = 30,970,086,857.35/285,539.72
  6. Step 6: Final answer
    x = 108,461.57

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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.