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Finding the Fourth Proportional to 309,912.21, 465,117.39 and 160,196.37

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Solution

The fourth proportional to 309,912.21, 465,117.39 and 160,196.37 is: 240,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.21 : 465,117.39 = 160,196.37 : x
  2. Step 2: Convert to fraction form
    309,912.21/465,117.39 = 160,196.37/x
  3. Step 3: Cross multiply
    309,912.21x = 465,117.39 × 160,196.37
  4. Step 4: Simplify right side
    309,912.21x = 74,510,117,501.87
  5. Step 5: Solve for x
    x = 74,510,117,501.87/309,912.21
  6. Step 6: Final answer
    x = 240,423.30

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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.