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Finding the Fourth Proportional to 418,722.36, 628,085.34 and 134,456.10

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Solution

The fourth proportional to 418,722.36, 628,085.34 and 134,456.10 is: 201,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,722.36 : 628,085.34 = 134,456.10 : x
  2. Step 2: Convert to fraction form
    418,722.36/628,085.34 = 134,456.10/x
  3. Step 3: Cross multiply
    418,722.36x = 628,085.34 × 134,456.10
  4. Step 4: Simplify right side
    418,722.36x = 84,449,905,283.57
  5. Step 5: Solve for x
    x = 84,449,905,283.57/418,722.36
  6. Step 6: Final answer
    x = 201,684.73

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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.