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Finding the Fourth Proportional to 420,598.63, 580,634.22 and 259,542.37

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Solution

The fourth proportional to 420,598.63, 580,634.22 and 259,542.37 is: 358,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,598.63 : 580,634.22 = 259,542.37 : x
  2. Step 2: Convert to fraction form
    420,598.63/580,634.22 = 259,542.37/x
  3. Step 3: Cross multiply
    420,598.63x = 580,634.22 × 259,542.37
  4. Step 4: Simplify right side
    420,598.63x = 150,699,181,561.90
  5. Step 5: Solve for x
    x = 150,699,181,561.90/420,598.63
  6. Step 6: Final answer
    x = 358,296.89

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1.5x scale

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.