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Finding the Fourth Proportional to 428,383.22, 591,437.64 and 275,686.78

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Solution

The fourth proportional to 428,383.22, 591,437.64 and 275,686.78 is: 380,620.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,383.22 : 591,437.64 = 275,686.78 : x
  2. Step 2: Convert to fraction form
    428,383.22/591,437.64 = 275,686.78/x
  3. Step 3: Cross multiply
    428,383.22x = 591,437.64 × 275,686.78
  4. Step 4: Simplify right side
    428,383.22x = 163,051,538,542.40
  5. Step 5: Solve for x
    x = 163,051,538,542.40/428,383.22
  6. Step 6: Final answer
    x = 380,620.74

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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.