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Finding the Fourth Proportional to 256,085.70, 384,128.55 and 203,208.90

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Solution

The fourth proportional to 256,085.70, 384,128.55 and 203,208.90 is: 304,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,085.70 : 384,128.55 = 203,208.90 : x
  2. Step 2: Convert to fraction form
    256,085.70/384,128.55 = 203,208.90/x
  3. Step 3: Cross multiply
    256,085.70x = 384,128.55 × 203,208.90
  4. Step 4: Simplify right side
    256,085.70x = 78,058,340,104.10
  5. Step 5: Solve for x
    x = 78,058,340,104.10/256,085.70
  6. Step 6: Final answer
    x = 304,813.35

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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.