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Finding the Fourth Proportional to 644,704, 967,000.29 and 218,230.68

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Solution

The fourth proportional to 644,704, 967,000.29 and 218,230.68 is: 327,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,704 : 967,000.29 = 218,230.68 : x
  2. Step 2: Convert to fraction form
    644,704/967,000.29 = 218,230.68/x
  3. Step 3: Cross multiply
    644,704x = 967,000.29 × 218,230.68
  4. Step 4: Simplify right side
    644,704x = 211,029,130,846.90
  5. Step 5: Solve for x
    x = 211,029,130,846.90/644,704
  6. Step 6: Final answer
    x = 327,327.16

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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.