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Finding the Fourth Proportional to 310,270.92, 428,199.66 and 182,971.32

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Solution

The fourth proportional to 310,270.92, 428,199.66 and 182,971.32 is: 252,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,270.92 : 428,199.66 = 182,971.32 : x
  2. Step 2: Convert to fraction form
    310,270.92/428,199.66 = 182,971.32/x
  3. Step 3: Cross multiply
    310,270.92x = 428,199.66 × 182,971.32
  4. Step 4: Simplify right side
    310,270.92x = 78,348,257,013.75
  5. Step 5: Solve for x
    x = 78,348,257,013.75/310,270.92
  6. Step 6: Final answer
    x = 252,515.63

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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.