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Finding the Fourth Proportional to 305,774.20, 458,661.30 and 164,056.60

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Solution

The fourth proportional to 305,774.20, 458,661.30 and 164,056.60 is: 246,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,774.20 : 458,661.30 = 164,056.60 : x
  2. Step 2: Convert to fraction form
    305,774.20/458,661.30 = 164,056.60/x
  3. Step 3: Cross multiply
    305,774.20x = 458,661.30 × 164,056.60
  4. Step 4: Simplify right side
    305,774.20x = 75,246,413,429.58
  5. Step 5: Solve for x
    x = 75,246,413,429.58/305,774.20
  6. Step 6: Final answer
    x = 246,084.90

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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.