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Finding the Fourth Proportional to 321,128.70, 481,693.05 and 202,415.10

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Solution

The fourth proportional to 321,128.70, 481,693.05 and 202,415.10 is: 303,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,128.70 : 481,693.05 = 202,415.10 : x
  2. Step 2: Convert to fraction form
    321,128.70/481,693.05 = 202,415.10/x
  3. Step 3: Cross multiply
    321,128.70x = 481,693.05 × 202,415.10
  4. Step 4: Simplify right side
    321,128.70x = 97,501,946,885.06
  5. Step 5: Solve for x
    x = 97,501,946,885.06/321,128.70
  6. Step 6: Final answer
    x = 303,622.65

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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.