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Finding the Fourth Proportional to 289,473.12, 399,468.24 and 162,147.68

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Solution

The fourth proportional to 289,473.12, 399,468.24 and 162,147.68 is: 223,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,473.12 : 399,468.24 = 162,147.68 : x
  2. Step 2: Convert to fraction form
    289,473.12/399,468.24 = 162,147.68/x
  3. Step 3: Cross multiply
    289,473.12x = 399,468.24 × 162,147.68
  4. Step 4: Simplify right side
    289,473.12x = 64,772,848,349.68
  5. Step 5: Solve for x
    x = 64,772,848,349.68/289,473.12
  6. Step 6: Final answer
    x = 223,761.18

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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.