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Finding the Fourth Proportional to 589,354.72, 813,309.60 and 321,082.72

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Solution

The fourth proportional to 589,354.72, 813,309.60 and 321,082.72 is: 443,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,354.72 : 813,309.60 = 321,082.72 : x
  2. Step 2: Convert to fraction form
    589,354.72/813,309.60 = 321,082.72/x
  3. Step 3: Cross multiply
    589,354.72x = 813,309.60 × 321,082.72
  4. Step 4: Simplify right side
    589,354.72x = 261,139,658,570.11
  5. Step 5: Solve for x
    x = 261,139,658,570.11/589,354.72
  6. Step 6: Final answer
    x = 443,094.20

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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.