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Finding the Fourth Proportional to 589,459.78, 813,454.50 and 321,187.78

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Solution

The fourth proportional to 589,459.78, 813,454.50 and 321,187.78 is: 443,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,459.78 : 813,454.50 = 321,187.78 : x
  2. Step 2: Convert to fraction form
    589,459.78/813,454.50 = 321,187.78/x
  3. Step 3: Cross multiply
    589,459.78x = 813,454.50 × 321,187.78
  4. Step 4: Simplify right side
    589,459.78x = 261,271,644,986.01
  5. Step 5: Solve for x
    x = 261,271,644,986.01/589,459.78
  6. Step 6: Final answer
    x = 443,239.14

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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.