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Finding the Fourth Proportional to 287,881.65, 397,148.31 and 166,952.88

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Solution

The fourth proportional to 287,881.65, 397,148.31 and 166,952.88 is: 230,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,881.65 : 397,148.31 = 166,952.88 : x
  2. Step 2: Convert to fraction form
    287,881.65/397,148.31 = 166,952.88/x
  3. Step 3: Cross multiply
    287,881.65x = 397,148.31 × 166,952.88
  4. Step 4: Simplify right side
    287,881.65x = 66,305,054,141.63
  5. Step 5: Solve for x
    x = 66,305,054,141.63/287,881.65
  6. Step 6: Final answer
    x = 230,320.53

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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.