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Finding the Fourth Proportional to 703,658.96, 1,056,900.24 and 419,903

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Solution

The fourth proportional to 703,658.96, 1,056,900.24 and 419,903 is: 630,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,658.96 : 1,056,900.24 = 419,903 : x
  2. Step 2: Convert to fraction form
    703,658.96/1,056,900.24 = 419,903/x
  3. Step 3: Cross multiply
    703,658.96x = 1,056,900.24 × 419,903
  4. Step 4: Simplify right side
    703,658.96x = 443,795,581,476.72
  5. Step 5: Solve for x
    x = 443,795,581,476.72/703,658.96
  6. Step 6: Final answer
    x = 630,696.98

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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.