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Finding the Fourth Proportional to 271,812.80, 406,912.80 and 202,001.60

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Solution

The fourth proportional to 271,812.80, 406,912.80 and 202,001.60 is: 302,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,812.80 : 406,912.80 = 202,001.60 : x
  2. Step 2: Convert to fraction form
    271,812.80/406,912.80 = 202,001.60/x
  3. Step 3: Cross multiply
    271,812.80x = 406,912.80 × 202,001.60
  4. Step 4: Simplify right side
    271,812.80x = 82,197,036,660.48
  5. Step 5: Solve for x
    x = 82,197,036,660.48/271,812.80
  6. Step 6: Final answer
    x = 302,403.11

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1.5x scale

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.