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Finding the Fourth Proportional to 256,175.80, 384,263.70 and 123,023.95

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Solution

The fourth proportional to 256,175.80, 384,263.70 and 123,023.95 is: 184,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,175.80 : 384,263.70 = 123,023.95 : x
  2. Step 2: Convert to fraction form
    256,175.80/384,263.70 = 123,023.95/x
  3. Step 3: Cross multiply
    256,175.80x = 384,263.70 × 123,023.95
  4. Step 4: Simplify right side
    256,175.80x = 47,273,638,215.62
  5. Step 5: Solve for x
    x = 47,273,638,215.62/256,175.80
  6. Step 6: Final answer
    x = 184,535.93

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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.