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Finding the Fourth Proportional to 431,361.30, 647,171.55 and 306,945.30

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Solution

The fourth proportional to 431,361.30, 647,171.55 and 306,945.30 is: 460,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,361.30 : 647,171.55 = 306,945.30 : x
  2. Step 2: Convert to fraction form
    431,361.30/647,171.55 = 306,945.30/x
  3. Step 3: Cross multiply
    431,361.30x = 647,171.55 × 306,945.30
  4. Step 4: Simplify right side
    431,361.30x = 198,646,265,566.22
  5. Step 5: Solve for x
    x = 198,646,265,566.22/431,361.30
  6. Step 6: Final answer
    x = 460,510.17

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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.