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Finding the Fourth Proportional to 285,429.76, 393,865.92 and 158,102.64

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Solution

The fourth proportional to 285,429.76, 393,865.92 and 158,102.64 is: 218,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,429.76 : 393,865.92 = 158,102.64 : x
  2. Step 2: Convert to fraction form
    285,429.76/393,865.92 = 158,102.64/x
  3. Step 3: Cross multiply
    285,429.76x = 393,865.92 × 158,102.64
  4. Step 4: Simplify right side
    285,429.76x = 62,271,241,758.03
  5. Step 5: Solve for x
    x = 62,271,241,758.03/285,429.76
  6. Step 6: Final answer
    x = 218,166.61

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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.