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Finding the Fourth Proportional to 385,469.96, 578,201.56 and 301,300.84

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Solution

The fourth proportional to 385,469.96, 578,201.56 and 301,300.84 is: 451,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,469.96 : 578,201.56 = 301,300.84 : x
  2. Step 2: Convert to fraction form
    385,469.96/578,201.56 = 301,300.84/x
  3. Step 3: Cross multiply
    385,469.96x = 578,201.56 × 301,300.84
  4. Step 4: Simplify right side
    385,469.96x = 174,212,615,717.31
  5. Step 5: Solve for x
    x = 174,212,615,717.31/385,469.96
  6. Step 6: Final answer
    x = 451,948.62

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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.