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Finding the Fourth Proportional to 313,017.94, 431,821.29 and 185,647.06

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Solution

The fourth proportional to 313,017.94, 431,821.29 and 185,647.06 is: 256,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,017.94 : 431,821.29 = 185,647.06 : x
  2. Step 2: Convert to fraction form
    313,017.94/431,821.29 = 185,647.06/x
  3. Step 3: Cross multiply
    313,017.94x = 431,821.29 × 185,647.06
  4. Step 4: Simplify right side
    313,017.94x = 80,166,352,933.91
  5. Step 5: Solve for x
    x = 80,166,352,933.91/313,017.94
  6. Step 6: Final answer
    x = 256,107.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.