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Finding the Fourth Proportional to 283,422.56, 424,986.22 and 105,783.48

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Solution

The fourth proportional to 283,422.56, 424,986.22 and 105,783.48 is: 158,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,422.56 : 424,986.22 = 105,783.48 : x
  2. Step 2: Convert to fraction form
    283,422.56/424,986.22 = 105,783.48/x
  3. Step 3: Cross multiply
    283,422.56x = 424,986.22 × 105,783.48
  4. Step 4: Simplify right side
    283,422.56x = 44,956,521,303.65
  5. Step 5: Solve for x
    x = 44,956,521,303.65/283,422.56
  6. Step 6: Final answer
    x = 158,620.12

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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.