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Finding the Fourth Proportional to 428,059.86, 590,729.02 and 234,485.40

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Solution

The fourth proportional to 428,059.86, 590,729.02 and 234,485.40 is: 323,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,059.86 : 590,729.02 = 234,485.40 : x
  2. Step 2: Convert to fraction form
    428,059.86/590,729.02 = 234,485.40/x
  3. Step 3: Cross multiply
    428,059.86x = 590,729.02 × 234,485.40
  4. Step 4: Simplify right side
    428,059.86x = 138,517,330,546.31
  5. Step 5: Solve for x
    x = 138,517,330,546.31/428,059.86
  6. Step 6: Final answer
    x = 323,593.37

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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.