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Finding the Fourth Proportional to 428,912.86, 642,713.18 and 229,261.64

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Solution

The fourth proportional to 428,912.86, 642,713.18 and 229,261.64 is: 343,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,912.86 : 642,713.18 = 229,261.64 : x
  2. Step 2: Convert to fraction form
    428,912.86/642,713.18 = 229,261.64/x
  3. Step 3: Cross multiply
    428,912.86x = 642,713.18 × 229,261.64
  4. Step 4: Simplify right side
    428,912.86x = 147,349,477,696.42
  5. Step 5: Solve for x
    x = 147,349,477,696.42/428,912.86
  6. Step 6: Final answer
    x = 343,541.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.