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Finding the Fourth Proportional to 428,493.74, 643,192.58 and 418,842.78

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Solution

The fourth proportional to 428,493.74, 643,192.58 and 418,842.78 is: 628,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,493.74 : 643,192.58 = 418,842.78 : x
  2. Step 2: Convert to fraction form
    428,493.74/643,192.58 = 418,842.78/x
  3. Step 3: Cross multiply
    428,493.74x = 643,192.58 × 418,842.78
  4. Step 4: Simplify right side
    428,493.74x = 269,396,566,188.36
  5. Step 5: Solve for x
    x = 269,396,566,188.36/428,493.74
  6. Step 6: Final answer
    x = 628,705.96

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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.