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Finding the Fourth Proportional to 589,303, 813,238.16 and 321,031

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Solution

The fourth proportional to 589,303, 813,238.16 and 321,031 is: 443,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,303 : 813,238.16 = 321,031 : x
  2. Step 2: Convert to fraction form
    589,303/813,238.16 = 321,031/x
  3. Step 3: Cross multiply
    589,303x = 813,238.16 × 321,031
  4. Step 4: Simplify right side
    589,303x = 261,074,659,742.96
  5. Step 5: Solve for x
    x = 261,074,659,742.96/589,303
  6. Step 6: Final answer
    x = 443,022.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.