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Finding the Fourth Proportional to 256,843.40, 384,746.70 and 178,046.60

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Solution

The fourth proportional to 256,843.40, 384,746.70 and 178,046.60 is: 266,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,843.40 : 384,746.70 = 178,046.60 : x
  2. Step 2: Convert to fraction form
    256,843.40/384,746.70 = 178,046.60/x
  3. Step 3: Cross multiply
    256,843.40x = 384,746.70 × 178,046.60
  4. Step 4: Simplify right side
    256,843.40x = 68,502,841,796.22
  5. Step 5: Solve for x
    x = 68,502,841,796.22/256,843.40
  6. Step 6: Final answer
    x = 266,710.54

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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.