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Finding the Fourth Proportional to 256,486.08, 384,710.90 and 78,974.58

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Solution

The fourth proportional to 256,486.08, 384,710.90 and 78,974.58 is: 118,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,486.08 : 384,710.90 = 78,974.58 : x
  2. Step 2: Convert to fraction form
    256,486.08/384,710.90 = 78,974.58/x
  3. Step 3: Cross multiply
    256,486.08x = 384,710.90 × 78,974.58
  4. Step 4: Simplify right side
    256,486.08x = 30,382,381,354.05
  5. Step 5: Solve for x
    x = 30,382,381,354.05/256,486.08
  6. Step 6: Final answer
    x = 118,456.26

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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.