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Finding the Fourth Proportional to 379,437.21, 523,656.50 and 209,704.14

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Solution

The fourth proportional to 379,437.21, 523,656.50 and 209,704.14 is: 289,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,437.21 : 523,656.50 = 209,704.14 : x
  2. Step 2: Convert to fraction form
    379,437.21/523,656.50 = 209,704.14/x
  3. Step 3: Cross multiply
    379,437.21x = 523,656.50 × 209,704.14
  4. Step 4: Simplify right side
    379,437.21x = 109,812,934,939.39
  5. Step 5: Solve for x
    x = 109,812,934,939.39/379,437.21
  6. Step 6: Final answer
    x = 289,410.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.