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Finding the Fourth Proportional to 329,731.20, 494,596.80 and 307,612.80

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Solution

The fourth proportional to 329,731.20, 494,596.80 and 307,612.80 is: 461,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,731.20 : 494,596.80 = 307,612.80 : x
  2. Step 2: Convert to fraction form
    329,731.20/494,596.80 = 307,612.80/x
  3. Step 3: Cross multiply
    329,731.20x = 494,596.80 × 307,612.80
  4. Step 4: Simplify right side
    329,731.20x = 152,144,306,519.04
  5. Step 5: Solve for x
    x = 152,144,306,519.04/329,731.20
  6. Step 6: Final answer
    x = 461,419.20

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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.