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Finding the Fourth Proportional to 256,956.75, 385,587 and 143,199.54

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Solution

The fourth proportional to 256,956.75, 385,587 and 143,199.54 is: 214,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,956.75 : 385,587 = 143,199.54 : x
  2. Step 2: Convert to fraction form
    256,956.75/385,587 = 143,199.54/x
  3. Step 3: Cross multiply
    256,956.75x = 385,587 × 143,199.54
  4. Step 4: Simplify right side
    256,956.75x = 55,215,881,029.98
  5. Step 5: Solve for x
    x = 55,215,881,029.98/256,956.75
  6. Step 6: Final answer
    x = 214,883.95

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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.