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Finding the Fourth Proportional to 320,804.72, 442,416.36 and 275,467.28

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Solution

The fourth proportional to 320,804.72, 442,416.36 and 275,467.28 is: 379,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,804.72 : 442,416.36 = 275,467.28 : x
  2. Step 2: Convert to fraction form
    320,804.72/442,416.36 = 275,467.28/x
  3. Step 3: Cross multiply
    320,804.72x = 442,416.36 × 275,467.28
  4. Step 4: Simplify right side
    320,804.72x = 121,871,231,316.70
  5. Step 5: Solve for x
    x = 121,871,231,316.70/320,804.72
  6. Step 6: Final answer
    x = 379,892.26

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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.