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Finding the Fourth Proportional to 202,396.90, 303,336.15 and 155,416.90

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Solution

The fourth proportional to 202,396.90, 303,336.15 and 155,416.90 is: 232,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,396.90 : 303,336.15 = 155,416.90 : x
  2. Step 2: Convert to fraction form
    202,396.90/303,336.15 = 155,416.90/x
  3. Step 3: Cross multiply
    202,396.90x = 303,336.15 × 155,416.90
  4. Step 4: Simplify right side
    202,396.90x = 47,143,564,090.94
  5. Step 5: Solve for x
    x = 47,143,564,090.94/202,396.90
  6. Step 6: Final answer
    x = 232,926.32

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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.