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Finding the Fourth Proportional to 285,518.52, 428,895.78 and 185,627.34

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Solution

The fourth proportional to 285,518.52, 428,895.78 and 185,627.34 is: 278,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,518.52 : 428,895.78 = 185,627.34 : x
  2. Step 2: Convert to fraction form
    285,518.52/428,895.78 = 185,627.34/x
  3. Step 3: Cross multiply
    285,518.52x = 428,895.78 × 185,627.34
  4. Step 4: Simplify right side
    285,518.52x = 79,614,782,778.63
  5. Step 5: Solve for x
    x = 79,614,782,778.63/285,518.52
  6. Step 6: Final answer
    x = 278,842.80

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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.