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Finding the Fourth Proportional to 214,708.80, 322,063.20 and 120,230.40

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Solution

The fourth proportional to 214,708.80, 322,063.20 and 120,230.40 is: 180,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,708.80 : 322,063.20 = 120,230.40 : x
  2. Step 2: Convert to fraction form
    214,708.80/322,063.20 = 120,230.40/x
  3. Step 3: Cross multiply
    214,708.80x = 322,063.20 × 120,230.40
  4. Step 4: Simplify right side
    214,708.80x = 38,721,787,361.28
  5. Step 5: Solve for x
    x = 38,721,787,361.28/214,708.80
  6. Step 6: Final answer
    x = 180,345.60

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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.