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Finding the Fourth Proportional to 419,825.34, 579,359.85 and 274,730.65

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Solution

The fourth proportional to 419,825.34, 579,359.85 and 274,730.65 is: 379,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,825.34 : 579,359.85 = 274,730.65 : x
  2. Step 2: Convert to fraction form
    419,825.34/579,359.85 = 274,730.65/x
  3. Step 3: Cross multiply
    419,825.34x = 579,359.85 × 274,730.65
  4. Step 4: Simplify right side
    419,825.34x = 159,167,908,174.40
  5. Step 5: Solve for x
    x = 159,167,908,174.40/419,825.34
  6. Step 6: Final answer
    x = 379,128.87

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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.