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Finding the Fourth Proportional to 422,186.31, 633,280.77 and 102,336.93

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Solution

The fourth proportional to 422,186.31, 633,280.77 and 102,336.93 is: 153,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,186.31 : 633,280.77 = 102,336.93 : x
  2. Step 2: Convert to fraction form
    422,186.31/633,280.77 = 102,336.93/x
  3. Step 3: Cross multiply
    422,186.31x = 633,280.77 × 102,336.93
  4. Step 4: Simplify right side
    422,186.31x = 64,808,009,829.84
  5. Step 5: Solve for x
    x = 64,808,009,829.84/422,186.31
  6. Step 6: Final answer
    x = 153,505.71

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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.