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Finding the Fourth Proportional to 428,816.30, 591,667.26 and 256,668.86

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Solution

The fourth proportional to 428,816.30, 591,667.26 and 256,668.86 is: 354,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,816.30 : 591,667.26 = 256,668.86 : x
  2. Step 2: Convert to fraction form
    428,816.30/591,667.26 = 256,668.86/x
  3. Step 3: Cross multiply
    428,816.30x = 591,667.26 × 256,668.86
  4. Step 4: Simplify right side
    428,816.30x = 151,862,561,319.35
  5. Step 5: Solve for x
    x = 151,862,561,319.35/428,816.30
  6. Step 6: Final answer
    x = 354,143.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.