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Finding the Fourth Proportional to 375,918.94, 518,720.33 and 214,784.42

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Solution

The fourth proportional to 375,918.94, 518,720.33 and 214,784.42 is: 296,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918.94 : 518,720.33 = 214,784.42 : x
  2. Step 2: Convert to fraction form
    375,918.94/518,720.33 = 214,784.42/x
  3. Step 3: Cross multiply
    375,918.94x = 518,720.33 × 214,784.42
  4. Step 4: Simplify right side
    375,918.94x = 111,413,045,221.26
  5. Step 5: Solve for x
    x = 111,413,045,221.26/375,918.94
  6. Step 6: Final answer
    x = 296,375.18

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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.