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Finding the Fourth Proportional to 296,697.88, 444,942.06 and 128,211.40

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Solution

The fourth proportional to 296,697.88, 444,942.06 and 128,211.40 is: 192,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,697.88 : 444,942.06 = 128,211.40 : x
  2. Step 2: Convert to fraction form
    296,697.88/444,942.06 = 128,211.40/x
  3. Step 3: Cross multiply
    296,697.88x = 444,942.06 × 128,211.40
  4. Step 4: Simplify right side
    296,697.88x = 57,046,644,431.48
  5. Step 5: Solve for x
    x = 57,046,644,431.48/296,697.88
  6. Step 6: Final answer
    x = 192,271.83

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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.