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Finding the Fourth Proportional to 201,640.70, 302,461.05 and 198,530.30

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Solution

The fourth proportional to 201,640.70, 302,461.05 and 198,530.30 is: 297,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640.70 : 302,461.05 = 198,530.30 : x
  2. Step 2: Convert to fraction form
    201,640.70/302,461.05 = 198,530.30/x
  3. Step 3: Cross multiply
    201,640.70x = 302,461.05 × 198,530.30
  4. Step 4: Simplify right side
    201,640.70x = 60,047,682,994.82
  5. Step 5: Solve for x
    x = 60,047,682,994.82/201,640.70
  6. Step 6: Final answer
    x = 297,795.45

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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.