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Finding the Fourth Proportional to 256,178.40, 384,037.20 and 167,474.40

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Solution

The fourth proportional to 256,178.40, 384,037.20 and 167,474.40 is: 251,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,178.40 : 384,037.20 = 167,474.40 : x
  2. Step 2: Convert to fraction form
    256,178.40/384,037.20 = 167,474.40/x
  3. Step 3: Cross multiply
    256,178.40x = 384,037.20 × 167,474.40
  4. Step 4: Simplify right side
    256,178.40x = 64,316,399,647.68
  5. Step 5: Solve for x
    x = 64,316,399,647.68/256,178.40
  6. Step 6: Final answer
    x = 251,060.98

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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.