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Finding the Fourth Proportional to 421,665.21, 581,911.70 and 230,678.60

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Solution

The fourth proportional to 421,665.21, 581,911.70 and 230,678.60 is: 318,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,665.21 : 581,911.70 = 230,678.60 : x
  2. Step 2: Convert to fraction form
    421,665.21/581,911.70 = 230,678.60/x
  3. Step 3: Cross multiply
    421,665.21x = 581,911.70 × 230,678.60
  4. Step 4: Simplify right side
    421,665.21x = 134,234,576,581.01
  5. Step 5: Solve for x
    x = 134,234,576,581.01/421,665.21
  6. Step 6: Final answer
    x = 318,343.97

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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.