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Finding the Fourth Proportional to 257,164.81, 385,894.89 and 200,846.82

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Solution

The fourth proportional to 257,164.81, 385,894.89 and 200,846.82 is: 301,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,164.81 : 385,894.89 = 200,846.82 : x
  2. Step 2: Convert to fraction form
    257,164.81/385,894.89 = 200,846.82/x
  3. Step 3: Cross multiply
    257,164.81x = 385,894.89 × 200,846.82
  4. Step 4: Simplify right side
    257,164.81x = 77,505,762,957.86
  5. Step 5: Solve for x
    x = 77,505,762,957.86/257,164.81
  6. Step 6: Final answer
    x = 301,385.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.