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Finding the Fourth Proportional to 342,997.37, 512,049.05 and 320,203.48

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Solution

The fourth proportional to 342,997.37, 512,049.05 and 320,203.48 is: 478,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,997.37 : 512,049.05 = 320,203.48 : x
  2. Step 2: Convert to fraction form
    342,997.37/512,049.05 = 320,203.48/x
  3. Step 3: Cross multiply
    342,997.37x = 512,049.05 × 320,203.48
  4. Step 4: Simplify right side
    342,997.37x = 163,959,887,261.08
  5. Step 5: Solve for x
    x = 163,959,887,261.08/342,997.37
  6. Step 6: Final answer
    x = 478,020.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.