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Finding the Fourth Proportional to 409,310.47, 560,757.38 and 393,969.84

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Solution

The fourth proportional to 409,310.47, 560,757.38 and 393,969.84 is: 539,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,310.47 : 560,757.38 = 393,969.84 : x
  2. Step 2: Convert to fraction form
    409,310.47/560,757.38 = 393,969.84/x
  3. Step 3: Cross multiply
    409,310.47x = 560,757.38 × 393,969.84
  4. Step 4: Simplify right side
    409,310.47x = 220,921,492,473.63
  5. Step 5: Solve for x
    x = 220,921,492,473.63/409,310.47
  6. Step 6: Final answer
    x = 539,740.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.