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Finding the Fourth Proportional to 428,910, 643,365.02 and 293,840.88

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Solution

The fourth proportional to 428,910, 643,365.02 and 293,840.88 is: 440,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,910 : 643,365.02 = 293,840.88 : x
  2. Step 2: Convert to fraction form
    428,910/643,365.02 = 293,840.88/x
  3. Step 3: Cross multiply
    428,910x = 643,365.02 × 293,840.88
  4. Step 4: Simplify right side
    428,910x = 189,046,943,638.02
  5. Step 5: Solve for x
    x = 189,046,943,638.02/428,910
  6. Step 6: Final answer
    x = 440,761.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.