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Finding the Fourth Proportional to 420,596.13, 580,630.77 and 259,539.87

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Solution

The fourth proportional to 420,596.13, 580,630.77 and 259,539.87 is: 358,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,596.13 : 580,630.77 = 259,539.87 : x
  2. Step 2: Convert to fraction form
    420,596.13/580,630.77 = 259,539.87/x
  3. Step 3: Cross multiply
    420,596.13x = 580,630.77 × 259,539.87
  4. Step 4: Simplify right side
    420,596.13x = 150,696,834,563.80
  5. Step 5: Solve for x
    x = 150,696,834,563.80/420,596.13
  6. Step 6: Final answer
    x = 358,293.44

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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.