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Finding the Fourth Proportional to 331,140.94, 496,411.90 and 120,729.66

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Solution

The fourth proportional to 331,140.94, 496,411.90 and 120,729.66 is: 180,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,140.94 : 496,411.90 = 120,729.66 : x
  2. Step 2: Convert to fraction form
    331,140.94/496,411.90 = 120,729.66/x
  3. Step 3: Cross multiply
    331,140.94x = 496,411.90 × 120,729.66
  4. Step 4: Simplify right side
    331,140.94x = 59,931,639,906.95
  5. Step 5: Solve for x
    x = 59,931,639,906.95/331,140.94
  6. Step 6: Final answer
    x = 180,985.29

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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.