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Finding the Fourth Proportional to 256,461.23, 384,578.88 and 136,489.24

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Solution

The fourth proportional to 256,461.23, 384,578.88 and 136,489.24 is: 204,673.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,461.23 : 384,578.88 = 136,489.24 : x
  2. Step 2: Convert to fraction form
    256,461.23/384,578.88 = 136,489.24/x
  3. Step 3: Cross multiply
    256,461.23x = 384,578.88 × 136,489.24
  4. Step 4: Simplify right side
    256,461.23x = 52,490,879,051.25
  5. Step 5: Solve for x
    x = 52,490,879,051.25/256,461.23
  6. Step 6: Final answer
    x = 204,673.74

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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.