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Finding the Fourth Proportional to 320,288.54, 440,723.31 and 310,549.10

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Solution

The fourth proportional to 320,288.54, 440,723.31 and 310,549.10 is: 427,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,288.54 : 440,723.31 = 310,549.10 : x
  2. Step 2: Convert to fraction form
    320,288.54/440,723.31 = 310,549.10/x
  3. Step 3: Cross multiply
    320,288.54x = 440,723.31 × 310,549.10
  4. Step 4: Simplify right side
    320,288.54x = 136,866,227,269.52
  5. Step 5: Solve for x
    x = 136,866,227,269.52/320,288.54
  6. Step 6: Final answer
    x = 427,321.65

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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.