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Finding the Fourth Proportional to 310,414.42, 428,526.91 and 203,148.29

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Solution

The fourth proportional to 310,414.42, 428,526.91 and 203,148.29 is: 280,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414.42 : 428,526.91 = 203,148.29 : x
  2. Step 2: Convert to fraction form
    310,414.42/428,526.91 = 203,148.29/x
  3. Step 3: Cross multiply
    310,414.42x = 428,526.91 × 203,148.29
  4. Step 4: Simplify right side
    310,414.42x = 87,054,509,548.93
  5. Step 5: Solve for x
    x = 87,054,509,548.93/310,414.42
  6. Step 6: Final answer
    x = 280,446.09

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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.