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Finding the Fourth Proportional to 421,049.34, 581,305.48 and 274,014.27

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Solution

The fourth proportional to 421,049.34, 581,305.48 and 274,014.27 is: 378,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,049.34 : 581,305.48 = 274,014.27 : x
  2. Step 2: Convert to fraction form
    421,049.34/581,305.48 = 274,014.27/x
  3. Step 3: Cross multiply
    421,049.34x = 581,305.48 × 274,014.27
  4. Step 4: Simplify right side
    421,049.34x = 159,285,996,064.16
  5. Step 5: Solve for x
    x = 159,285,996,064.16/421,049.34
  6. Step 6: Final answer
    x = 378,307.20

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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.