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Finding the Fourth Proportional to 384,907.52, 531,128.96 and 215,136

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Solution

The fourth proportional to 384,907.52, 531,128.96 and 215,136 is: 296,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,907.52 : 531,128.96 = 215,136 : x
  2. Step 2: Convert to fraction form
    384,907.52/531,128.96 = 215,136/x
  3. Step 3: Cross multiply
    384,907.52x = 531,128.96 × 215,136
  4. Step 4: Simplify right side
    384,907.52x = 114,264,959,938.56
  5. Step 5: Solve for x
    x = 114,264,959,938.56/384,907.52
  6. Step 6: Final answer
    x = 296,863.41

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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.