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Finding the Fourth Proportional to 285,978.53, 428,702.92 and 105,963.65

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Solution

The fourth proportional to 285,978.53, 428,702.92 and 105,963.65 is: 158,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.53 : 428,702.92 = 105,963.65 : x
  2. Step 2: Convert to fraction form
    285,978.53/428,702.92 = 105,963.65/x
  3. Step 3: Cross multiply
    285,978.53x = 428,702.92 × 105,963.65
  4. Step 4: Simplify right side
    285,978.53x = 45,426,926,876.93
  5. Step 5: Solve for x
    x = 45,426,926,876.93/285,978.53
  6. Step 6: Final answer
    x = 158,847.33

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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.