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Finding the Fourth Proportional to 738,290, 1,107,619.96 and 212,978

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Solution

The fourth proportional to 738,290, 1,107,619.96 and 212,978 is: 319,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,290 : 1,107,619.96 = 212,978 : x
  2. Step 2: Convert to fraction form
    738,290/1,107,619.96 = 212,978/x
  3. Step 3: Cross multiply
    738,290x = 1,107,619.96 × 212,978
  4. Step 4: Simplify right side
    738,290x = 235,898,683,840.88
  5. Step 5: Solve for x
    x = 235,898,683,840.88/738,290
  6. Step 6: Final answer
    x = 319,520.36

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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.