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Finding the Fourth Proportional to 421,356.28, 581,471.56 and 230,369.64

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Solution

The fourth proportional to 421,356.28, 581,471.56 and 230,369.64 is: 317,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,356.28 : 581,471.56 = 230,369.64 : x
  2. Step 2: Convert to fraction form
    421,356.28/581,471.56 = 230,369.64/x
  3. Step 3: Cross multiply
    421,356.28x = 581,471.56 × 230,369.64
  4. Step 4: Simplify right side
    421,356.28x = 133,953,393,947.44
  5. Step 5: Solve for x
    x = 133,953,393,947.44/421,356.28
  6. Step 6: Final answer
    x = 317,910.05

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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.