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Finding the Fourth Proportional to 419,309.84, 628,404.24 and 152,819.84

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Solution

The fourth proportional to 419,309.84, 628,404.24 and 152,819.84 is: 229,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,309.84 : 628,404.24 = 152,819.84 : x
  2. Step 2: Convert to fraction form
    419,309.84/628,404.24 = 152,819.84/x
  3. Step 3: Cross multiply
    419,309.84x = 628,404.24 × 152,819.84
  4. Step 4: Simplify right side
    419,309.84x = 96,032,635,412.12
  5. Step 5: Solve for x
    x = 96,032,635,412.12/419,309.84
  6. Step 6: Final answer
    x = 229,025.48

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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.