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Finding the Fourth Proportional to 375,290.69, 517,891.12 and 214,142.81

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Solution

The fourth proportional to 375,290.69, 517,891.12 and 214,142.81 is: 295,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,290.69 : 517,891.12 = 214,142.81 : x
  2. Step 2: Convert to fraction form
    375,290.69/517,891.12 = 214,142.81/x
  3. Step 3: Cross multiply
    375,290.69x = 517,891.12 × 214,142.81
  4. Step 4: Simplify right side
    375,290.69x = 110,902,656,586.04
  5. Step 5: Solve for x
    x = 110,902,656,586.04/375,290.69
  6. Step 6: Final answer
    x = 295,511.35

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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.