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Finding the Fourth Proportional to 375,140.48, 517,743.12 and 213,958.58

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Solution

The fourth proportional to 375,140.48, 517,743.12 and 213,958.58 is: 295,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,140.48 : 517,743.12 = 213,958.58 : x
  2. Step 2: Convert to fraction form
    375,140.48/517,743.12 = 213,958.58/x
  3. Step 3: Cross multiply
    375,140.48x = 517,743.12 × 213,958.58
  4. Step 4: Simplify right side
    375,140.48x = 110,775,582,759.97
  5. Step 5: Solve for x
    x = 110,775,582,759.97/375,140.48
  6. Step 6: Final answer
    x = 295,290.93

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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.