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Finding the Fourth Proportional to 256,491.12, 384,814.52 and 181,755.84

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Solution

The fourth proportional to 256,491.12, 384,814.52 and 181,755.84 is: 272,688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,491.12 : 384,814.52 = 181,755.84 : x
  2. Step 2: Convert to fraction form
    256,491.12/384,814.52 = 181,755.84/x
  3. Step 3: Cross multiply
    256,491.12x = 384,814.52 × 181,755.84
  4. Step 4: Simplify right side
    256,491.12x = 69,942,286,326.80
  5. Step 5: Solve for x
    x = 69,942,286,326.80/256,491.12
  6. Step 6: Final answer
    x = 272,688.92

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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.