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Finding the Fourth Proportional to 331,478.40, 496,916.16 and 120,969.60

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Solution

The fourth proportional to 331,478.40, 496,916.16 and 120,969.60 is: 181,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,478.40 : 496,916.16 = 120,969.60 : x
  2. Step 2: Convert to fraction form
    331,478.40/496,916.16 = 120,969.60/x
  3. Step 3: Cross multiply
    331,478.40x = 496,916.16 × 120,969.60
  4. Step 4: Simplify right side
    331,478.40x = 60,111,749,108.74
  5. Step 5: Solve for x
    x = 60,111,749,108.74/331,478.40
  6. Step 6: Final answer
    x = 181,344.39

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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.