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Finding the Fourth Proportional to 321,415.67, 443,463.83 and 253,221

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Solution

The fourth proportional to 321,415.67, 443,463.83 and 253,221 is: 349,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,415.67 : 443,463.83 = 253,221 : x
  2. Step 2: Convert to fraction form
    321,415.67/443,463.83 = 253,221/x
  3. Step 3: Cross multiply
    321,415.67x = 443,463.83 × 253,221
  4. Step 4: Simplify right side
    321,415.67x = 112,294,353,230.33
  5. Step 5: Solve for x
    x = 112,294,353,230.33/321,415.67
  6. Step 6: Final answer
    x = 349,374.24

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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.