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Finding the Fourth Proportional to 375,178.12, 517,795.08 and 213,996.16

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Solution

The fourth proportional to 375,178.12, 517,795.08 and 213,996.16 is: 295,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,178.12 : 517,795.08 = 213,996.16 : x
  2. Step 2: Convert to fraction form
    375,178.12/517,795.08 = 213,996.16/x
  3. Step 3: Cross multiply
    375,178.12x = 517,795.08 × 213,996.16
  4. Step 4: Simplify right side
    375,178.12x = 110,806,158,786.89
  5. Step 5: Solve for x
    x = 110,806,158,786.89/375,178.12
  6. Step 6: Final answer
    x = 295,342.81

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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.