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Finding the Fourth Proportional to 428,081.90, 590,762.85 and 234,508.10

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Solution

The fourth proportional to 428,081.90, 590,762.85 and 234,508.10 is: 323,626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,081.90 : 590,762.85 = 234,508.10 : x
  2. Step 2: Convert to fraction form
    428,081.90/590,762.85 = 234,508.10/x
  3. Step 3: Cross multiply
    428,081.90x = 590,762.85 × 234,508.10
  4. Step 4: Simplify right side
    428,081.90x = 138,538,673,504.09
  5. Step 5: Solve for x
    x = 138,538,673,504.09/428,081.90
  6. Step 6: Final answer
    x = 323,626.56

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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.