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Finding the Fourth Proportional to 285,566.88, 428,357.21 and 96,029.72

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Solution

The fourth proportional to 285,566.88, 428,357.21 and 96,029.72 is: 144,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,566.88 : 428,357.21 = 96,029.72 : x
  2. Step 2: Convert to fraction form
    285,566.88/428,357.21 = 96,029.72/x
  3. Step 3: Cross multiply
    285,566.88x = 428,357.21 × 96,029.72
  4. Step 4: Simplify right side
    285,566.88x = 41,135,020,314.35
  5. Step 5: Solve for x
    x = 41,135,020,314.35/285,566.88
  6. Step 6: Final answer
    x = 144,046.89

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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.