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Finding the Fourth Proportional to 455,364, 628,408.80 and 254,160

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Solution

The fourth proportional to 455,364, 628,408.80 and 254,160 is: 350,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,364 : 628,408.80 = 254,160 : x
  2. Step 2: Convert to fraction form
    455,364/628,408.80 = 254,160/x
  3. Step 3: Cross multiply
    455,364x = 628,408.80 × 254,160
  4. Step 4: Simplify right side
    455,364x = 159,716,380,608
  5. Step 5: Solve for x
    x = 159,716,380,608/455,364
  6. Step 6: Final answer
    x = 350,744.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.