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Finding the Fourth Proportional to 420,738.30, 580,640.61 and 257,343.59

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Solution

The fourth proportional to 420,738.30, 580,640.61 and 257,343.59 is: 355,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,738.30 : 580,640.61 = 257,343.59 : x
  2. Step 2: Convert to fraction form
    420,738.30/580,640.61 = 257,343.59/x
  3. Step 3: Cross multiply
    420,738.30x = 580,640.61 × 257,343.59
  4. Step 4: Simplify right side
    420,738.30x = 149,424,136,173.99
  5. Step 5: Solve for x
    x = 149,424,136,173.99/420,738.30
  6. Step 6: Final answer
    x = 355,147.45

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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.