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Finding the Fourth Proportional to 288,016, 397,462.08 and 168,784

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Solution

The fourth proportional to 288,016, 397,462.08 and 168,784 is: 232,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016 : 397,462.08 = 168,784 : x
  2. Step 2: Convert to fraction form
    288,016/397,462.08 = 168,784/x
  3. Step 3: Cross multiply
    288,016x = 397,462.08 × 168,784
  4. Step 4: Simplify right side
    288,016x = 67,085,239,710.72
  5. Step 5: Solve for x
    x = 67,085,239,710.72/288,016
  6. Step 6: Final answer
    x = 232,921.92

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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.