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Finding the Fourth Proportional to 329,442.30, 494,163.45 and 288,764.10

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Solution

The fourth proportional to 329,442.30, 494,163.45 and 288,764.10 is: 433,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,442.30 : 494,163.45 = 288,764.10 : x
  2. Step 2: Convert to fraction form
    329,442.30/494,163.45 = 288,764.10/x
  3. Step 3: Cross multiply
    329,442.30x = 494,163.45 × 288,764.10
  4. Step 4: Simplify right side
    329,442.30x = 142,696,663,892.15
  5. Step 5: Solve for x
    x = 142,696,663,892.15/329,442.30
  6. Step 6: Final answer
    x = 433,146.15

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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.