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Finding the Fourth Proportional to 285,889.52, 428,744.79 and 103,497.31

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Solution

The fourth proportional to 285,889.52, 428,744.79 and 103,497.31 is: 155,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,889.52 : 428,744.79 = 103,497.31 : x
  2. Step 2: Convert to fraction form
    285,889.52/428,744.79 = 103,497.31/x
  3. Step 3: Cross multiply
    285,889.52x = 428,744.79 × 103,497.31
  4. Step 4: Simplify right side
    285,889.52x = 44,373,931,369.65
  5. Step 5: Solve for x
    x = 44,373,931,369.65/285,889.52
  6. Step 6: Final answer
    x = 155,213.56

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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.