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Finding the Fourth Proportional to 256,957.75, 385,588.50 and 143,200.54

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Solution

The fourth proportional to 256,957.75, 385,588.50 and 143,200.54 is: 214,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,957.75 : 385,588.50 = 143,200.54 : x
  2. Step 2: Convert to fraction form
    256,957.75/385,588.50 = 143,200.54/x
  3. Step 3: Cross multiply
    256,957.75x = 385,588.50 × 143,200.54
  4. Step 4: Simplify right side
    256,957.75x = 55,216,481,417.79
  5. Step 5: Solve for x
    x = 55,216,481,417.79/256,957.75
  6. Step 6: Final answer
    x = 214,885.45

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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.