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Finding the Fourth Proportional to 279,732.96, 419,965.32 and 166,088.24

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Solution

The fourth proportional to 279,732.96, 419,965.32 and 166,088.24 is: 249,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,732.96 : 419,965.32 = 166,088.24 : x
  2. Step 2: Convert to fraction form
    279,732.96/419,965.32 = 166,088.24/x
  3. Step 3: Cross multiply
    279,732.96x = 419,965.32 × 166,088.24
  4. Step 4: Simplify right side
    279,732.96x = 69,751,300,859.84
  5. Step 5: Solve for x
    x = 69,751,300,859.84/279,732.96
  6. Step 6: Final answer
    x = 249,349.60

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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.