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Finding the Fourth Proportional to 256,442.94, 353,872.71 and 141,720.21

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Solution

The fourth proportional to 256,442.94, 353,872.71 and 141,720.21 is: 195,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.94 : 353,872.71 = 141,720.21 : x
  2. Step 2: Convert to fraction form
    256,442.94/353,872.71 = 141,720.21/x
  3. Step 3: Cross multiply
    256,442.94x = 353,872.71 × 141,720.21
  4. Step 4: Simplify right side
    256,442.94x = 50,150,914,774.47
  5. Step 5: Solve for x
    x = 50,150,914,774.47/256,442.94
  6. Step 6: Final answer
    x = 195,563.64

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1.5x scale

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.