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Finding the Fourth Proportional to 422,109.63, 633,015 and 155,798.64

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Solution

The fourth proportional to 422,109.63, 633,015 and 155,798.64 is: 233,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,109.63 : 633,015 = 155,798.64 : x
  2. Step 2: Convert to fraction form
    422,109.63/633,015 = 155,798.64/x
  3. Step 3: Cross multiply
    422,109.63x = 633,015 × 155,798.64
  4. Step 4: Simplify right side
    422,109.63x = 98,622,876,099.60
  5. Step 5: Solve for x
    x = 98,622,876,099.60/422,109.63
  6. Step 6: Final answer
    x = 233,642.80

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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.