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Finding the Fourth Proportional to 520,563.93, 718,414.83 and 291,142.57

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Solution

The fourth proportional to 520,563.93, 718,414.83 and 291,142.57 is: 401,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,563.93 : 718,414.83 = 291,142.57 : x
  2. Step 2: Convert to fraction form
    520,563.93/718,414.83 = 291,142.57/x
  3. Step 3: Cross multiply
    520,563.93x = 718,414.83 × 291,142.57
  4. Step 4: Simplify right side
    520,563.93x = 209,161,136,861.91
  5. Step 5: Solve for x
    x = 209,161,136,861.91/520,563.93
  6. Step 6: Final answer
    x = 401,797.22

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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.