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Finding the Fourth Proportional to 321,302.84, 443,390.37 and 178,059.81

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Solution

The fourth proportional to 321,302.84, 443,390.37 and 178,059.81 is: 245,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,302.84 : 443,390.37 = 178,059.81 : x
  2. Step 2: Convert to fraction form
    321,302.84/443,390.37 = 178,059.81/x
  3. Step 3: Cross multiply
    321,302.84x = 443,390.37 × 178,059.81
  4. Step 4: Simplify right side
    321,302.84x = 78,950,005,038.03
  5. Step 5: Solve for x
    x = 78,950,005,038.03/321,302.84
  6. Step 6: Final answer
    x = 245,718.35

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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.