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Finding the Fourth Proportional to 374,958.50, 517,429.67 and 213,865.50

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Solution

The fourth proportional to 374,958.50, 517,429.67 and 213,865.50 is: 295,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,958.50 : 517,429.67 = 213,865.50 : x
  2. Step 2: Convert to fraction form
    374,958.50/517,429.67 = 213,865.50/x
  3. Step 3: Cross multiply
    374,958.50x = 517,429.67 × 213,865.50
  4. Step 4: Simplify right side
    374,958.50x = 110,660,354,020.06
  5. Step 5: Solve for x
    x = 110,660,354,020.06/374,958.50
  6. Step 6: Final answer
    x = 295,126.94

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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.