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Finding the Fourth Proportional to 392,832.68, 589,507.26 and 215,464

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Solution

The fourth proportional to 392,832.68, 589,507.26 and 215,464 is: 323,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,832.68 : 589,507.26 = 215,464 : x
  2. Step 2: Convert to fraction form
    392,832.68/589,507.26 = 215,464/x
  3. Step 3: Cross multiply
    392,832.68x = 589,507.26 × 215,464
  4. Step 4: Simplify right side
    392,832.68x = 127,017,592,268.64
  5. Step 5: Solve for x
    x = 127,017,592,268.64/392,832.68
  6. Step 6: Final answer
    x = 323,337.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.