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Finding the Fourth Proportional to 256,485.10, 384,266.85 and 219,621.10

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Solution

The fourth proportional to 256,485.10, 384,266.85 and 219,621.10 is: 329,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,485.10 : 384,266.85 = 219,621.10 : x
  2. Step 2: Convert to fraction form
    256,485.10/384,266.85 = 219,621.10/x
  3. Step 3: Cross multiply
    256,485.10x = 384,266.85 × 219,621.10
  4. Step 4: Simplify right side
    256,485.10x = 84,393,108,290.54
  5. Step 5: Solve for x
    x = 84,393,108,290.54/256,485.10
  6. Step 6: Final answer
    x = 329,037.08

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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.