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Finding the Fourth Proportional to 510,561.31, 704,767.39 and 401,380.80

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Solution

The fourth proportional to 510,561.31, 704,767.39 and 401,380.80 is: 554,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,561.31 : 704,767.39 = 401,380.80 : x
  2. Step 2: Convert to fraction form
    510,561.31/704,767.39 = 401,380.80/x
  3. Step 3: Cross multiply
    510,561.31x = 704,767.39 × 401,380.80
  4. Step 4: Simplify right side
    510,561.31x = 282,880,098,812.11
  5. Step 5: Solve for x
    x = 282,880,098,812.11/510,561.31
  6. Step 6: Final answer
    x = 554,057.06

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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.