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Finding the Fourth Proportional to 384,896.91, 531,136.28 and 212,804.93

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Solution

The fourth proportional to 384,896.91, 531,136.28 and 212,804.93 is: 293,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,896.91 : 531,136.28 = 212,804.93 : x
  2. Step 2: Convert to fraction form
    384,896.91/531,136.28 = 212,804.93/x
  3. Step 3: Cross multiply
    384,896.91x = 531,136.28 × 212,804.93
  4. Step 4: Simplify right side
    384,896.91x = 113,028,415,166.15
  5. Step 5: Solve for x
    x = 113,028,415,166.15/384,896.91
  6. Step 6: Final answer
    x = 293,658.93

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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.