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Finding the Fourth Proportional to 256,310.24, 384,603.24 and 106,653.84

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Solution

The fourth proportional to 256,310.24, 384,603.24 and 106,653.84 is: 160,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,310.24 : 384,603.24 = 106,653.84 : x
  2. Step 2: Convert to fraction form
    256,310.24/384,603.24 = 106,653.84/x
  3. Step 3: Cross multiply
    256,310.24x = 384,603.24 × 106,653.84
  4. Step 4: Simplify right side
    256,310.24x = 41,019,412,422.44
  5. Step 5: Solve for x
    x = 41,019,412,422.44/256,310.24
  6. Step 6: Final answer
    x = 160,038.13

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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.