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Finding the Fourth Proportional to 427,606.10, 641,385.92 and 161,360.18

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Solution

The fourth proportional to 427,606.10, 641,385.92 and 161,360.18 is: 242,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,606.10 : 641,385.92 = 161,360.18 : x
  2. Step 2: Convert to fraction form
    427,606.10/641,385.92 = 161,360.18/x
  3. Step 3: Cross multiply
    427,606.10x = 641,385.92 × 161,360.18
  4. Step 4: Simplify right side
    427,606.10x = 103,494,147,500.67
  5. Step 5: Solve for x
    x = 103,494,147,500.67/427,606.10
  6. Step 6: Final answer
    x = 242,031.50

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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.