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Finding the Fourth Proportional to 288,965.72, 398,802.69 and 166,462.35

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Solution

The fourth proportional to 288,965.72, 398,802.69 and 166,462.35 is: 229,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,965.72 : 398,802.69 = 166,462.35 : x
  2. Step 2: Convert to fraction form
    288,965.72/398,802.69 = 166,462.35/x
  3. Step 3: Cross multiply
    288,965.72x = 398,802.69 × 166,462.35
  4. Step 4: Simplify right side
    288,965.72x = 66,385,632,963.72
  5. Step 5: Solve for x
    x = 66,385,632,963.72/288,965.72
  6. Step 6: Final answer
    x = 229,735.33

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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.