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Finding the Fourth Proportional to 289,176.80, 433,133.46 and 120,184.76

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Solution

The fourth proportional to 289,176.80, 433,133.46 and 120,184.76 is: 180,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,176.80 : 433,133.46 = 120,184.76 : x
  2. Step 2: Convert to fraction form
    289,176.80/433,133.46 = 120,184.76/x
  3. Step 3: Cross multiply
    289,176.80x = 433,133.46 × 120,184.76
  4. Step 4: Simplify right side
    289,176.80x = 52,056,040,938.07
  5. Step 5: Solve for x
    x = 52,056,040,938.07/289,176.80
  6. Step 6: Final answer
    x = 180,014.58

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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.