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Finding the Fourth Proportional to 340,814.80, 511,222.20 and 214,843.60

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Solution

The fourth proportional to 340,814.80, 511,222.20 and 214,843.60 is: 322,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,814.80 : 511,222.20 = 214,843.60 : x
  2. Step 2: Convert to fraction form
    340,814.80/511,222.20 = 214,843.60/x
  3. Step 3: Cross multiply
    340,814.80x = 511,222.20 × 214,843.60
  4. Step 4: Simplify right side
    340,814.80x = 109,832,817,847.92
  5. Step 5: Solve for x
    x = 109,832,817,847.92/340,814.80
  6. Step 6: Final answer
    x = 322,265.40

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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.