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Finding the Fourth Proportional to 256,353.52, 384,529.06 and 142,447.68

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Solution

The fourth proportional to 256,353.52, 384,529.06 and 142,447.68 is: 213,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,353.52 : 384,529.06 = 142,447.68 : x
  2. Step 2: Convert to fraction form
    256,353.52/384,529.06 = 142,447.68/x
  3. Step 3: Cross multiply
    256,353.52x = 384,529.06 × 142,447.68
  4. Step 4: Simplify right side
    256,353.52x = 54,775,272,489.58
  5. Step 5: Solve for x
    x = 54,775,272,489.58/256,353.52
  6. Step 6: Final answer
    x = 213,670.84

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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.