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Finding the Fourth Proportional to 256,422.92, 384,720.03 and 161,543.57

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Solution

The fourth proportional to 256,422.92, 384,720.03 and 161,543.57 is: 242,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.92 : 384,720.03 = 161,543.57 : x
  2. Step 2: Convert to fraction form
    256,422.92/384,720.03 = 161,543.57/x
  3. Step 3: Cross multiply
    256,422.92x = 384,720.03 × 161,543.57
  4. Step 4: Simplify right side
    256,422.92x = 62,149,045,173.11
  5. Step 5: Solve for x
    x = 62,149,045,173.11/256,422.92
  6. Step 6: Final answer
    x = 242,369.31

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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.