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Finding the Fourth Proportional to 256,511.56, 384,845.10 and 123,354.04

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Solution

The fourth proportional to 256,511.56, 384,845.10 and 123,354.04 is: 185,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,511.56 : 384,845.10 = 123,354.04 : x
  2. Step 2: Convert to fraction form
    256,511.56/384,845.10 = 123,354.04/x
  3. Step 3: Cross multiply
    256,511.56x = 384,845.10 × 123,354.04
  4. Step 4: Simplify right side
    256,511.56x = 47,472,197,859.20
  5. Step 5: Solve for x
    x = 47,472,197,859.20/256,511.56
  6. Step 6: Final answer
    x = 185,068.45

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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.