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Finding the Fourth Proportional to 340,704.29, 510,574.46 and 188,968.61

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Solution

The fourth proportional to 340,704.29, 510,574.46 and 188,968.61 is: 283,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,704.29 : 510,574.46 = 188,968.61 : x
  2. Step 2: Convert to fraction form
    340,704.29/510,574.46 = 188,968.61/x
  3. Step 3: Cross multiply
    340,704.29x = 510,574.46 × 188,968.61
  4. Step 4: Simplify right side
    340,704.29x = 96,482,543,454.83
  5. Step 5: Solve for x
    x = 96,482,543,454.83/340,704.29
  6. Step 6: Final answer
    x = 283,185.59

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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.