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Finding the Fourth Proportional to 589,464.78, 813,461.40 and 321,192.78

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Solution

The fourth proportional to 589,464.78, 813,461.40 and 321,192.78 is: 443,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,464.78 : 813,461.40 = 321,192.78 : x
  2. Step 2: Convert to fraction form
    589,464.78/813,461.40 = 321,192.78/x
  3. Step 3: Cross multiply
    589,464.78x = 813,461.40 × 321,192.78
  4. Step 4: Simplify right side
    589,464.78x = 261,277,928,488.69
  5. Step 5: Solve for x
    x = 261,277,928,488.69/589,464.78
  6. Step 6: Final answer
    x = 443,246.04

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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.