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Finding the Fourth Proportional to 289,003.85, 433,583.69 and 120,468.16

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Solution

The fourth proportional to 289,003.85, 433,583.69 and 120,468.16 is: 180,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,003.85 : 433,583.69 = 120,468.16 : x
  2. Step 2: Convert to fraction form
    289,003.85/433,583.69 = 120,468.16/x
  3. Step 3: Cross multiply
    289,003.85x = 433,583.69 × 120,468.16
  4. Step 4: Simplify right side
    289,003.85x = 52,233,029,279.95
  5. Step 5: Solve for x
    x = 52,233,029,279.95/289,003.85
  6. Step 6: Final answer
    x = 180,734.72

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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.