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Finding the Fourth Proportional to 285,299.62, 393,712.85 and 164,440.07

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Solution

The fourth proportional to 285,299.62, 393,712.85 and 164,440.07 is: 226,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,299.62 : 393,712.85 = 164,440.07 : x
  2. Step 2: Convert to fraction form
    285,299.62/393,712.85 = 164,440.07/x
  3. Step 3: Cross multiply
    285,299.62x = 393,712.85 × 164,440.07
  4. Step 4: Simplify right side
    285,299.62x = 64,742,170,747.49
  5. Step 5: Solve for x
    x = 64,742,170,747.49/285,299.62
  6. Step 6: Final answer
    x = 226,926.95

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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.