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Finding the Fourth Proportional to 427,792.94, 641,835.27 and 161,630.18

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Solution

The fourth proportional to 427,792.94, 641,835.27 and 161,630.18 is: 242,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,792.94 : 641,835.27 = 161,630.18 : x
  2. Step 2: Convert to fraction form
    427,792.94/641,835.27 = 161,630.18/x
  3. Step 3: Cross multiply
    427,792.94x = 641,835.27 × 161,630.18
  4. Step 4: Simplify right side
    427,792.94x = 103,739,950,220.45
  5. Step 5: Solve for x
    x = 103,739,950,220.45/427,792.94
  6. Step 6: Final answer
    x = 242,500.38

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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.