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Finding the Fourth Proportional to 428,333.96, 591,087.96 and 234,739.30

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Solution

The fourth proportional to 428,333.96, 591,087.96 and 234,739.30 is: 323,933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,333.96 : 591,087.96 = 234,739.30 : x
  2. Step 2: Convert to fraction form
    428,333.96/591,087.96 = 234,739.30/x
  3. Step 3: Cross multiply
    428,333.96x = 591,087.96 × 234,739.30
  4. Step 4: Simplify right side
    428,333.96x = 138,751,573,968.83
  5. Step 5: Solve for x
    x = 138,751,573,968.83/428,333.96
  6. Step 6: Final answer
    x = 323,933.16

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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.