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Finding the Fourth Proportional to 310,123.16, 428,016.24 and 189,334.48

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Solution

The fourth proportional to 310,123.16, 428,016.24 and 189,334.48 is: 261,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,123.16 : 428,016.24 = 189,334.48 : x
  2. Step 2: Convert to fraction form
    310,123.16/428,016.24 = 189,334.48/x
  3. Step 3: Cross multiply
    310,123.16x = 428,016.24 × 189,334.48
  4. Step 4: Simplify right side
    310,123.16x = 81,038,232,231.96
  5. Step 5: Solve for x
    x = 81,038,232,231.96/310,123.16
  6. Step 6: Final answer
    x = 261,309.84

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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.