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Finding the Fourth Proportional to 270,646.60, 405,969.90 and 256,131.40

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Solution

The fourth proportional to 270,646.60, 405,969.90 and 256,131.40 is: 384,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.60 : 405,969.90 = 256,131.40 : x
  2. Step 2: Convert to fraction form
    270,646.60/405,969.90 = 256,131.40/x
  3. Step 3: Cross multiply
    270,646.60x = 405,969.90 × 256,131.40
  4. Step 4: Simplify right side
    270,646.60x = 103,981,638,844.86
  5. Step 5: Solve for x
    x = 103,981,638,844.86/270,646.60
  6. Step 6: Final answer
    x = 384,197.10

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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.