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Finding the Fourth Proportional to 428,587.75, 591,469.79 and 256,472.97

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Solution

The fourth proportional to 428,587.75, 591,469.79 and 256,472.97 is: 353,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,587.75 : 591,469.79 = 256,472.97 : x
  2. Step 2: Convert to fraction form
    428,587.75/591,469.79 = 256,472.97/x
  3. Step 3: Cross multiply
    428,587.75x = 591,469.79 × 256,472.97
  4. Step 4: Simplify right side
    428,587.75x = 151,696,015,918.06
  5. Step 5: Solve for x
    x = 151,696,015,918.06/428,587.75
  6. Step 6: Final answer
    x = 353,943.89

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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.