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Finding the Fourth Proportional to 384,121.60, 530,034.84 and 214,322.80

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Solution

The fourth proportional to 384,121.60, 530,034.84 and 214,322.80 is: 295,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,121.60 : 530,034.84 = 214,322.80 : x
  2. Step 2: Convert to fraction form
    384,121.60/530,034.84 = 214,322.80/x
  3. Step 3: Cross multiply
    384,121.60x = 530,034.84 × 214,322.80
  4. Step 4: Simplify right side
    384,121.60x = 113,598,551,006.35
  5. Step 5: Solve for x
    x = 113,598,551,006.35/384,121.60
  6. Step 6: Final answer
    x = 295,735.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.