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Finding the Fourth Proportional to 256,915.29, 384,874.21 and 189,324.63

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Solution

The fourth proportional to 256,915.29, 384,874.21 and 189,324.63 is: 283,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,915.29 : 384,874.21 = 189,324.63 : x
  2. Step 2: Convert to fraction form
    256,915.29/384,874.21 = 189,324.63/x
  3. Step 3: Cross multiply
    256,915.29x = 384,874.21 × 189,324.63
  4. Step 4: Simplify right side
    256,915.29x = 72,866,167,404.79
  5. Step 5: Solve for x
    x = 72,866,167,404.79/256,915.29
  6. Step 6: Final answer
    x = 283,619.43

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1.5x scale

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.