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Finding the Fourth Proportional to 256,514.40, 384,334.20 and 211,899.60

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Solution

The fourth proportional to 256,514.40, 384,334.20 and 211,899.60 is: 317,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,514.40 : 384,334.20 = 211,899.60 : x
  2. Step 2: Convert to fraction form
    256,514.40/384,334.20 = 211,899.60/x
  3. Step 3: Cross multiply
    256,514.40x = 384,334.20 × 211,899.60
  4. Step 4: Simplify right side
    256,514.40x = 81,440,263,246.32
  5. Step 5: Solve for x
    x = 81,440,263,246.32/256,514.40
  6. Step 6: Final answer
    x = 317,488.08

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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.