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Finding the Fourth Proportional to 409,294.62, 612,809.82 and 209,184.12

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Solution

The fourth proportional to 409,294.62, 612,809.82 and 209,184.12 is: 313,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,294.62 : 612,809.82 = 209,184.12 : x
  2. Step 2: Convert to fraction form
    409,294.62/612,809.82 = 209,184.12/x
  3. Step 3: Cross multiply
    409,294.62x = 612,809.82 × 209,184.12
  4. Step 4: Simplify right side
    409,294.62x = 128,190,082,924.06
  5. Step 5: Solve for x
    x = 128,190,082,924.06/409,294.62
  6. Step 6: Final answer
    x = 313,197.58

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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.