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Finding the Fourth Proportional to 287,215.47, 396,297.29 and 166,349.52

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Solution

The fourth proportional to 287,215.47, 396,297.29 and 166,349.52 is: 229,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,215.47 : 396,297.29 = 166,349.52 : x
  2. Step 2: Convert to fraction form
    287,215.47/396,297.29 = 166,349.52/x
  3. Step 3: Cross multiply
    287,215.47x = 396,297.29 × 166,349.52
  4. Step 4: Simplify right side
    287,215.47x = 65,923,864,384.67
  5. Step 5: Solve for x
    x = 65,923,864,384.67/287,215.47
  6. Step 6: Final answer
    x = 229,527.55

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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.