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Finding the Fourth Proportional to 310,523.76, 428,454.36 and 197,512.56

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Solution

The fourth proportional to 310,523.76, 428,454.36 and 197,512.56 is: 272,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,523.76 : 428,454.36 = 197,512.56 : x
  2. Step 2: Convert to fraction form
    310,523.76/428,454.36 = 197,512.56/x
  3. Step 3: Cross multiply
    310,523.76x = 428,454.36 × 197,512.56
  4. Step 4: Simplify right side
    310,523.76x = 84,625,117,486.76
  5. Step 5: Solve for x
    x = 84,625,117,486.76/310,523.76
  6. Step 6: Final answer
    x = 272,523.81

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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.