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Finding the Fourth Proportional to 285,368, 393,807 and 164,508.62

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Solution

The fourth proportional to 285,368, 393,807 and 164,508.62 is: 227,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,368 : 393,807 = 164,508.62 : x
  2. Step 2: Convert to fraction form
    285,368/393,807 = 164,508.62/x
  3. Step 3: Cross multiply
    285,368x = 393,807 × 164,508.62
  4. Step 4: Simplify right side
    285,368x = 64,784,646,116.34
  5. Step 5: Solve for x
    x = 64,784,646,116.34/285,368
  6. Step 6: Final answer
    x = 227,021.41

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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.