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Finding the Fourth Proportional to 210,433.20, 315,520.20 and 121,642.80

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Solution

The fourth proportional to 210,433.20, 315,520.20 and 121,642.80 is: 182,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,433.20 : 315,520.20 = 121,642.80 : x
  2. Step 2: Convert to fraction form
    210,433.20/315,520.20 = 121,642.80/x
  3. Step 3: Cross multiply
    210,433.20x = 315,520.20 × 121,642.80
  4. Step 4: Simplify right side
    210,433.20x = 38,380,760,584.56
  5. Step 5: Solve for x
    x = 38,380,760,584.56/210,433.20
  6. Step 6: Final answer
    x = 182,389.28

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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.