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Finding the Fourth Proportional to 421,174, 580,885.74 and 318,151.96

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Solution

The fourth proportional to 421,174, 580,885.74 and 318,151.96 is: 438,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,174 : 580,885.74 = 318,151.96 : x
  2. Step 2: Convert to fraction form
    421,174/580,885.74 = 318,151.96/x
  3. Step 3: Cross multiply
    421,174x = 580,885.74 × 318,151.96
  4. Step 4: Simplify right side
    421,174x = 184,809,936,717.05
  5. Step 5: Solve for x
    x = 184,809,936,717.05/421,174
  6. Step 6: Final answer
    x = 438,797.12

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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.