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Finding the Fourth Proportional to 355,428.60, 532,365.30 and 214,942.20

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Solution

The fourth proportional to 355,428.60, 532,365.30 and 214,942.20 is: 321,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,428.60 : 532,365.30 = 214,942.20 : x
  2. Step 2: Convert to fraction form
    355,428.60/532,365.30 = 214,942.20/x
  3. Step 3: Cross multiply
    355,428.60x = 532,365.30 × 214,942.20
  4. Step 4: Simplify right side
    355,428.60x = 114,427,768,785.66
  5. Step 5: Solve for x
    x = 114,427,768,785.66/355,428.60
  6. Step 6: Final answer
    x = 321,943.05

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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.