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Finding the Fourth Proportional to 309,704.20, 464,242.55 and 209,874.49

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Solution

The fourth proportional to 309,704.20, 464,242.55 and 209,874.49 is: 314,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,704.20 : 464,242.55 = 209,874.49 : x
  2. Step 2: Convert to fraction form
    309,704.20/464,242.55 = 209,874.49/x
  3. Step 3: Cross multiply
    309,704.20x = 464,242.55 × 209,874.49
  4. Step 4: Simplify right side
    309,704.20x = 97,432,668,417.55
  5. Step 5: Solve for x
    x = 97,432,668,417.55/309,704.20
  6. Step 6: Final answer
    x = 314,599.12

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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.