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Finding the Fourth Proportional to 420,497.44, 580,361.70 and 250,742.50

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Solution

The fourth proportional to 420,497.44, 580,361.70 and 250,742.50 is: 346,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,497.44 : 580,361.70 = 250,742.50 : x
  2. Step 2: Convert to fraction form
    420,497.44/580,361.70 = 250,742.50/x
  3. Step 3: Cross multiply
    420,497.44x = 580,361.70 × 250,742.50
  4. Step 4: Simplify right side
    420,497.44x = 145,521,343,562.25
  5. Step 5: Solve for x
    x = 145,521,343,562.25/420,497.44
  6. Step 6: Final answer
    x = 346,069.51

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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.