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Finding the Fourth Proportional to 285,651.86, 428,533.84 and 105,738.86

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Solution

The fourth proportional to 285,651.86, 428,533.84 and 105,738.86 is: 158,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,651.86 : 428,533.84 = 105,738.86 : x
  2. Step 2: Convert to fraction form
    285,651.86/428,533.84 = 105,738.86/x
  3. Step 3: Cross multiply
    285,651.86x = 428,533.84 × 105,738.86
  4. Step 4: Simplify right side
    285,651.86x = 45,312,679,713.02
  5. Step 5: Solve for x
    x = 45,312,679,713.02/285,651.86
  6. Step 6: Final answer
    x = 158,629.04

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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.