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Finding the Fourth Proportional to 589,619.68, 813,675.90 and 321,347.68

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Solution

The fourth proportional to 589,619.68, 813,675.90 and 321,347.68 is: 443,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,619.68 : 813,675.90 = 321,347.68 : x
  2. Step 2: Convert to fraction form
    589,619.68/813,675.90 = 321,347.68/x
  3. Step 3: Cross multiply
    589,619.68x = 813,675.90 × 321,347.68
  4. Step 4: Simplify right side
    589,619.68x = 261,472,862,736.91
  5. Step 5: Solve for x
    x = 261,472,862,736.91/589,619.68
  6. Step 6: Final answer
    x = 443,460.20

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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.