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Finding the Fourth Proportional to 321,415.29, 443,463.32 and 253,220.63

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Solution

The fourth proportional to 321,415.29, 443,463.32 and 253,220.63 is: 349,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,415.29 : 443,463.32 = 253,220.63 : x
  2. Step 2: Convert to fraction form
    321,415.29/443,463.32 = 253,220.63/x
  3. Step 3: Cross multiply
    321,415.29x = 443,463.32 × 253,220.63
  4. Step 4: Simplify right side
    321,415.29x = 112,294,057,788.87
  5. Step 5: Solve for x
    x = 112,294,057,788.87/321,415.29
  6. Step 6: Final answer
    x = 349,373.73

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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.