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Finding the Fourth Proportional to 285,212.68, 393,541.14 and 164,336.92

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Solution

The fourth proportional to 285,212.68, 393,541.14 and 164,336.92 is: 226,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,212.68 : 393,541.14 = 164,336.92 : x
  2. Step 2: Convert to fraction form
    285,212.68/393,541.14 = 164,336.92/x
  3. Step 3: Cross multiply
    285,212.68x = 393,541.14 × 164,336.92
  4. Step 4: Simplify right side
    285,212.68x = 64,673,338,840.89
  5. Step 5: Solve for x
    x = 64,673,338,840.89/285,212.68
  6. Step 6: Final answer
    x = 226,754.78

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1.5x scale

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.