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Finding the Fourth Proportional to 329,732.40, 494,890.20 and 282,493.20

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Solution

The fourth proportional to 329,732.40, 494,890.20 and 282,493.20 is: 423,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,732.40 : 494,890.20 = 282,493.20 : x
  2. Step 2: Convert to fraction form
    329,732.40/494,890.20 = 282,493.20/x
  3. Step 3: Cross multiply
    329,732.40x = 494,890.20 × 282,493.20
  4. Step 4: Simplify right side
    329,732.40x = 139,803,116,246.64
  5. Step 5: Solve for x
    x = 139,803,116,246.64/329,732.40
  6. Step 6: Final answer
    x = 423,989.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.