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Finding the Fourth Proportional to 384,896.64, 531,168.96 and 215,126.40

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Solution

The fourth proportional to 384,896.64, 531,168.96 and 215,126.40 is: 296,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,896.64 : 531,168.96 = 215,126.40 : x
  2. Step 2: Convert to fraction form
    384,896.64/531,168.96 = 215,126.40/x
  3. Step 3: Cross multiply
    384,896.64x = 531,168.96 × 215,126.40
  4. Step 4: Simplify right side
    384,896.64x = 114,268,466,156.54
  5. Step 5: Solve for x
    x = 114,268,466,156.54/384,896.64
  6. Step 6: Final answer
    x = 296,880.91

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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.