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Finding the Fourth Proportional to 285,343.30, 393,684.17 and 164,467.81

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Solution

The fourth proportional to 285,343.30, 393,684.17 and 164,467.81 is: 226,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,343.30 : 393,684.17 = 164,467.81 : x
  2. Step 2: Convert to fraction form
    285,343.30/393,684.17 = 164,467.81/x
  3. Step 3: Cross multiply
    285,343.30x = 393,684.17 × 164,467.81
  4. Step 4: Simplify right side
    285,343.30x = 64,748,372,941.33
  5. Step 5: Solve for x
    x = 64,748,372,941.33/285,343.30
  6. Step 6: Final answer
    x = 226,913.94

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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.