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Finding the Fourth Proportional to 285,358, 393,793.20 and 164,498.62

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Solution

The fourth proportional to 285,358, 393,793.20 and 164,498.62 is: 227,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,358 : 393,793.20 = 164,498.62 : x
  2. Step 2: Convert to fraction form
    285,358/393,793.20 = 164,498.62/x
  3. Step 3: Cross multiply
    285,358x = 393,793.20 × 164,498.62
  4. Step 4: Simplify right side
    285,358x = 64,778,437,965.38
  5. Step 5: Solve for x
    x = 64,778,437,965.38/285,358
  6. Step 6: Final answer
    x = 227,007.61

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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.