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Finding the Fourth Proportional to 289,474.12, 399,469.62 and 162,149.32

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Solution

The fourth proportional to 289,474.12, 399,469.62 and 162,149.32 is: 223,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474.12 : 399,469.62 = 162,149.32 : x
  2. Step 2: Convert to fraction form
    289,474.12/399,469.62 = 162,149.32/x
  3. Step 3: Cross multiply
    289,474.12x = 399,469.62 × 162,149.32
  4. Step 4: Simplify right side
    289,474.12x = 64,773,727,243.66
  5. Step 5: Solve for x
    x = 64,773,727,243.66/289,474.12
  6. Step 6: Final answer
    x = 223,763.45

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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.