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Finding the Fourth Proportional to 256,822.78, 384,777.06 and 218,999.13

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Solution

The fourth proportional to 256,822.78, 384,777.06 and 218,999.13 is: 328,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,822.78 : 384,777.06 = 218,999.13 : x
  2. Step 2: Convert to fraction form
    256,822.78/384,777.06 = 218,999.13/x
  3. Step 3: Cross multiply
    256,822.78x = 384,777.06 × 218,999.13
  4. Step 4: Simplify right side
    256,822.78x = 84,265,841,383.96
  5. Step 5: Solve for x
    x = 84,265,841,383.96/256,822.78
  6. Step 6: Final answer
    x = 328,108.91

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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.