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Finding the Fourth Proportional to 428,083.40, 590,764.92 and 234,509.60

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Solution

The fourth proportional to 428,083.40, 590,764.92 and 234,509.60 is: 323,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,083.40 : 590,764.92 = 234,509.60 : x
  2. Step 2: Convert to fraction form
    428,083.40/590,764.92 = 234,509.60/x
  3. Step 3: Cross multiply
    428,083.40x = 590,764.92 × 234,509.60
  4. Step 4: Simplify right side
    428,083.40x = 138,540,045,083.23
  5. Step 5: Solve for x
    x = 138,540,045,083.23/428,083.40
  6. Step 6: Final answer
    x = 323,628.63

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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.