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Finding the Fourth Proportional to 320,970.88, 443,401.20 and 256,355.28

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Solution

The fourth proportional to 320,970.88, 443,401.20 and 256,355.28 is: 354,138.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,970.88 : 443,401.20 = 256,355.28 : x
  2. Step 2: Convert to fraction form
    320,970.88/443,401.20 = 256,355.28/x
  3. Step 3: Cross multiply
    320,970.88x = 443,401.20 × 256,355.28
  4. Step 4: Simplify right side
    320,970.88x = 113,668,238,778.34
  5. Step 5: Solve for x
    x = 113,668,238,778.34/320,970.88
  6. Step 6: Final answer
    x = 354,138.79

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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.