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Finding the Fourth Proportional to 256,584.16, 384,613.80 and 129,989.80

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Solution

The fourth proportional to 256,584.16, 384,613.80 and 129,989.80 is: 194,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,584.16 : 384,613.80 = 129,989.80 : x
  2. Step 2: Convert to fraction form
    256,584.16/384,613.80 = 129,989.80/x
  3. Step 3: Cross multiply
    256,584.16x = 384,613.80 × 129,989.80
  4. Step 4: Simplify right side
    256,584.16x = 49,995,870,939.24
  5. Step 5: Solve for x
    x = 49,995,870,939.24/256,584.16
  6. Step 6: Final answer
    x = 194,851.74

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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.