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Finding the Fourth Proportional to 354,912, 532,105.56 and 214,639.44

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Solution

The fourth proportional to 354,912, 532,105.56 and 214,639.44 is: 321,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,912 : 532,105.56 = 214,639.44 : x
  2. Step 2: Convert to fraction form
    354,912/532,105.56 = 214,639.44/x
  3. Step 3: Cross multiply
    354,912x = 532,105.56 × 214,639.44
  4. Step 4: Simplify right side
    354,912x = 114,210,839,419.29
  5. Step 5: Solve for x
    x = 114,210,839,419.29/354,912
  6. Step 6: Final answer
    x = 321,800.44

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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.