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Finding the Fourth Proportional to 420,552.59, 580,570.74 and 259,496.37

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Solution

The fourth proportional to 420,552.59, 580,570.74 and 259,496.37 is: 358,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,552.59 : 580,570.74 = 259,496.37 : x
  2. Step 2: Convert to fraction form
    420,552.59/580,570.74 = 259,496.37/x
  3. Step 3: Cross multiply
    420,552.59x = 580,570.74 × 259,496.37
  4. Step 4: Simplify right side
    420,552.59x = 150,655,999,558.21
  5. Step 5: Solve for x
    x = 150,655,999,558.21/420,552.59
  6. Step 6: Final answer
    x = 358,233.44

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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.