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Finding the Fourth Proportional to 422,386.85, 633,641.94 and 122,828.60

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Solution

The fourth proportional to 422,386.85, 633,641.94 and 122,828.60 is: 184,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,386.85 : 633,641.94 = 122,828.60 : x
  2. Step 2: Convert to fraction form
    422,386.85/633,641.94 = 122,828.60/x
  3. Step 3: Cross multiply
    422,386.85x = 633,641.94 × 122,828.60
  4. Step 4: Simplify right side
    422,386.85x = 77,829,353,975.59
  5. Step 5: Solve for x
    x = 77,829,353,975.59/422,386.85
  6. Step 6: Final answer
    x = 184,260.83

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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.