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Finding the Fourth Proportional to 428,613.48, 590,137.08 and 326,310.48

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Solution

The fourth proportional to 428,613.48, 590,137.08 and 326,310.48 is: 449,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,613.48 : 590,137.08 = 326,310.48 : x
  2. Step 2: Convert to fraction form
    428,613.48/590,137.08 = 326,310.48/x
  3. Step 3: Cross multiply
    428,613.48x = 590,137.08 × 326,310.48
  4. Step 4: Simplify right side
    428,613.48x = 192,567,913,840.60
  5. Step 5: Solve for x
    x = 192,567,913,840.60/428,613.48
  6. Step 6: Final answer
    x = 449,281.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.