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Finding the Fourth Proportional to 421,045.78, 581,043.30 and 227,453.54

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Solution

The fourth proportional to 421,045.78, 581,043.30 and 227,453.54 is: 313,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,045.78 : 581,043.30 = 227,453.54 : x
  2. Step 2: Convert to fraction form
    421,045.78/581,043.30 = 227,453.54/x
  3. Step 3: Cross multiply
    421,045.78x = 581,043.30 × 227,453.54
  4. Step 4: Simplify right side
    421,045.78x = 132,160,355,478.28
  5. Step 5: Solve for x
    x = 132,160,355,478.28/421,045.78
  6. Step 6: Final answer
    x = 313,885.95

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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.