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Finding the Fourth Proportional to 510,576.93, 765,020.97 and 310,289.04

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Solution

The fourth proportional to 510,576.93, 765,020.97 and 310,289.04 is: 464,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,576.93 : 765,020.97 = 310,289.04 : x
  2. Step 2: Convert to fraction form
    510,576.93/765,020.97 = 310,289.04/x
  3. Step 3: Cross multiply
    510,576.93x = 765,020.97 × 310,289.04
  4. Step 4: Simplify right side
    510,576.93x = 237,377,622,361.17
  5. Step 5: Solve for x
    x = 237,377,622,361.17/510,576.93
  6. Step 6: Final answer
    x = 464,920.38

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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.