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Finding the Fourth Proportional to 375,596.22, 518,323.23 and 205,830.78

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Solution

The fourth proportional to 375,596.22, 518,323.23 and 205,830.78 is: 284,046.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,596.22 : 518,323.23 = 205,830.78 : x
  2. Step 2: Convert to fraction form
    375,596.22/518,323.23 = 205,830.78/x
  3. Step 3: Cross multiply
    375,596.22x = 518,323.23 × 205,830.78
  4. Step 4: Simplify right side
    375,596.22x = 106,686,874,723.02
  5. Step 5: Solve for x
    x = 106,686,874,723.02/375,596.22
  6. Step 6: Final answer
    x = 284,046.72

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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.