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Finding the Fourth Proportional to 427,588.92, 641,604.60 and 310,228.92

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Solution

The fourth proportional to 427,588.92, 641,604.60 and 310,228.92 is: 465,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,588.92 : 641,604.60 = 310,228.92 : x
  2. Step 2: Convert to fraction form
    427,588.92/641,604.60 = 310,228.92/x
  3. Step 3: Cross multiply
    427,588.92x = 641,604.60 × 310,228.92
  4. Step 4: Simplify right side
    427,588.92x = 199,044,302,125.03
  5. Step 5: Solve for x
    x = 199,044,302,125.03/427,588.92
  6. Step 6: Final answer
    x = 465,503.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.