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Finding the Fourth Proportional to 321,422.94, 481,912.02 and 141,421.86

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Solution

The fourth proportional to 321,422.94, 481,912.02 and 141,421.86 is: 212,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,422.94 : 481,912.02 = 141,421.86 : x
  2. Step 2: Convert to fraction form
    321,422.94/481,912.02 = 141,421.86/x
  3. Step 3: Cross multiply
    321,422.94x = 481,912.02 × 141,421.86
  4. Step 4: Simplify right side
    321,422.94x = 68,152,894,224.76
  5. Step 5: Solve for x
    x = 68,152,894,224.76/321,422.94
  6. Step 6: Final answer
    x = 212,034.94

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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.