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Finding the Fourth Proportional to 421,644.42, 581,871.06 and 230,661

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Solution

The fourth proportional to 421,644.42, 581,871.06 and 230,661 is: 318,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,644.42 : 581,871.06 = 230,661 : x
  2. Step 2: Convert to fraction form
    421,644.42/581,871.06 = 230,661/x
  3. Step 3: Cross multiply
    421,644.42x = 581,871.06 × 230,661
  4. Step 4: Simplify right side
    421,644.42x = 134,214,960,570.66
  5. Step 5: Solve for x
    x = 134,214,960,570.66/421,644.42
  6. Step 6: Final answer
    x = 318,313.14

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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.