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Finding the Fourth Proportional to 354,810.69, 532,325.39 and 212,813.64

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Solution

The fourth proportional to 354,810.69, 532,325.39 and 212,813.64 is: 319,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,810.69 : 532,325.39 = 212,813.64 : x
  2. Step 2: Convert to fraction form
    354,810.69/532,325.39 = 212,813.64/x
  3. Step 3: Cross multiply
    354,810.69x = 532,325.39 × 212,813.64
  4. Step 4: Simplify right side
    354,810.69x = 113,286,102,846.25
  5. Step 5: Solve for x
    x = 113,286,102,846.25/354,810.69
  6. Step 6: Final answer
    x = 319,286.05

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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.