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Finding the Fourth Proportional to 589,757.32, 813,856.98 and 321,485.32

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Solution

The fourth proportional to 589,757.32, 813,856.98 and 321,485.32 is: 443,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,757.32 : 813,856.98 = 321,485.32 : x
  2. Step 2: Convert to fraction form
    589,757.32/813,856.98 = 321,485.32/x
  3. Step 3: Cross multiply
    589,757.32x = 813,856.98 × 321,485.32
  4. Step 4: Simplify right side
    589,757.32x = 261,643,071,649.53
  5. Step 5: Solve for x
    x = 261,643,071,649.53/589,757.32
  6. Step 6: Final answer
    x = 443,645.31

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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.