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Finding the Fourth Proportional to 331,615.70, 497,520.42 and 106,971.15

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Solution

The fourth proportional to 331,615.70, 497,520.42 and 106,971.15 is: 160,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,615.70 : 497,520.42 = 106,971.15 : x
  2. Step 2: Convert to fraction form
    331,615.70/497,520.42 = 106,971.15/x
  3. Step 3: Cross multiply
    331,615.70x = 497,520.42 × 106,971.15
  4. Step 4: Simplify right side
    331,615.70x = 53,220,330,941.03
  5. Step 5: Solve for x
    x = 53,220,330,941.03/331,615.70
  6. Step 6: Final answer
    x = 160,487.97

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1.5x scale

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.