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Finding the Fourth Proportional to 201,640.95, 302,461.43 and 192,783.60

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Solution

The fourth proportional to 201,640.95, 302,461.43 and 192,783.60 is: 289,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640.95 : 302,461.43 = 192,783.60 : x
  2. Step 2: Convert to fraction form
    201,640.95/302,461.43 = 192,783.60/x
  3. Step 3: Cross multiply
    201,640.95x = 302,461.43 × 192,783.60
  4. Step 4: Simplify right side
    201,640.95x = 58,309,602,372.63
  5. Step 5: Solve for x
    x = 58,309,602,372.63/201,640.95
  6. Step 6: Final answer
    x = 289,175.40

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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.