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Finding the Fourth Proportional to 285,889.23, 428,834.52 and 86,266.89

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Solution

The fourth proportional to 285,889.23, 428,834.52 and 86,266.89 is: 129,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,889.23 : 428,834.52 = 86,266.89 : x
  2. Step 2: Convert to fraction form
    285,889.23/428,834.52 = 86,266.89/x
  3. Step 3: Cross multiply
    285,889.23x = 428,834.52 × 86,266.89
  4. Step 4: Simplify right side
    285,889.23x = 36,994,220,365.04
  5. Step 5: Solve for x
    x = 36,994,220,365.04/285,889.23
  6. Step 6: Final answer
    x = 129,400.54

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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.