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Finding the Fourth Proportional to 589,437, 813,423.06 and 321,165

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Solution

The fourth proportional to 589,437, 813,423.06 and 321,165 is: 443,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,437 : 813,423.06 = 321,165 : x
  2. Step 2: Convert to fraction form
    589,437/813,423.06 = 321,165/x
  3. Step 3: Cross multiply
    589,437x = 813,423.06 × 321,165
  4. Step 4: Simplify right side
    589,437x = 261,243,017,064.90
  5. Step 5: Solve for x
    x = 261,243,017,064.90/589,437
  6. Step 6: Final answer
    x = 443,207.70

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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.