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Finding the Fourth Proportional to 330,172.80, 494,821.80 and 292,556.40

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Solution

The fourth proportional to 330,172.80, 494,821.80 and 292,556.40 is: 438,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,172.80 : 494,821.80 = 292,556.40 : x
  2. Step 2: Convert to fraction form
    330,172.80/494,821.80 = 292,556.40/x
  3. Step 3: Cross multiply
    330,172.80x = 494,821.80 × 292,556.40
  4. Step 4: Simplify right side
    330,172.80x = 144,763,284,449.52
  5. Step 5: Solve for x
    x = 144,763,284,449.52/330,172.80
  6. Step 6: Final answer
    x = 438,447.03

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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.