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Finding the Fourth Proportional to 311,832.24, 430,327.20 and 168,592.20

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Solution

The fourth proportional to 311,832.24, 430,327.20 and 168,592.20 is: 232,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,832.24 : 430,327.20 = 168,592.20 : x
  2. Step 2: Convert to fraction form
    311,832.24/430,327.20 = 168,592.20/x
  3. Step 3: Cross multiply
    311,832.24x = 430,327.20 × 168,592.20
  4. Step 4: Simplify right side
    311,832.24x = 72,549,809,367.84
  5. Step 5: Solve for x
    x = 72,549,809,367.84/311,832.24
  6. Step 6: Final answer
    x = 232,656.54

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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.