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Finding the Fourth Proportional to 256,538.79, 384,814.80 and 121,571.19

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Solution

The fourth proportional to 256,538.79, 384,814.80 and 121,571.19 is: 182,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538.79 : 384,814.80 = 121,571.19 : x
  2. Step 2: Convert to fraction form
    256,538.79/384,814.80 = 121,571.19/x
  3. Step 3: Cross multiply
    256,538.79x = 384,814.80 × 121,571.19
  4. Step 4: Simplify right side
    256,538.79x = 46,782,393,165.61
  5. Step 5: Solve for x
    x = 46,782,393,165.61/256,538.79
  6. Step 6: Final answer
    x = 182,359.92

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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.