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Finding the Fourth Proportional to 421,052.76, 581,052.96 and 227,460.54

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Solution

The fourth proportional to 421,052.76, 581,052.96 and 227,460.54 is: 313,895.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,052.76 : 581,052.96 = 227,460.54 : x
  2. Step 2: Convert to fraction form
    421,052.76/581,052.96 = 227,460.54/x
  3. Step 3: Cross multiply
    421,052.76x = 581,052.96 × 227,460.54
  4. Step 4: Simplify right side
    421,052.76x = 132,166,620,050.20
  5. Step 5: Solve for x
    x = 132,166,620,050.20/421,052.76
  6. Step 6: Final answer
    x = 313,895.63

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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.