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Finding the Fourth Proportional to 589,428, 813,410.64 and 321,156

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Solution

The fourth proportional to 589,428, 813,410.64 and 321,156 is: 443,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,428 : 813,410.64 = 321,156 : x
  2. Step 2: Convert to fraction form
    589,428/813,410.64 = 321,156/x
  3. Step 3: Cross multiply
    589,428x = 813,410.64 × 321,156
  4. Step 4: Simplify right side
    589,428x = 261,231,707,499.84
  5. Step 5: Solve for x
    x = 261,231,707,499.84/589,428
  6. Step 6: Final answer
    x = 443,195.28

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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.