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Finding the Fourth Proportional to 214,424.40, 321,790.20 and 89,854.80

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Solution

The fourth proportional to 214,424.40, 321,790.20 and 89,854.80 is: 134,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,424.40 : 321,790.20 = 89,854.80 : x
  2. Step 2: Convert to fraction form
    214,424.40/321,790.20 = 89,854.80/x
  3. Step 3: Cross multiply
    214,424.40x = 321,790.20 × 89,854.80
  4. Step 4: Simplify right side
    214,424.40x = 28,914,394,062.96
  5. Step 5: Solve for x
    x = 28,914,394,062.96/214,424.40
  6. Step 6: Final answer
    x = 134,846.57

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1.5x scale

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.