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Finding the Fourth Proportional to 329,702.80, 494,554.20 and 289,024.60

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Solution

The fourth proportional to 329,702.80, 494,554.20 and 289,024.60 is: 433,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.80 : 494,554.20 = 289,024.60 : x
  2. Step 2: Convert to fraction form
    329,702.80/494,554.20 = 289,024.60/x
  3. Step 3: Cross multiply
    329,702.80x = 494,554.20 × 289,024.60
  4. Step 4: Simplify right side
    329,702.80x = 142,938,329,833.32
  5. Step 5: Solve for x
    x = 142,938,329,833.32/329,702.80
  6. Step 6: Final answer
    x = 433,536.90

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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.