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Finding the Fourth Proportional to 408,869.45, 613,384.41 and 142,638.65

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Solution

The fourth proportional to 408,869.45, 613,384.41 and 142,638.65 is: 213,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,869.45 : 613,384.41 = 142,638.65 : x
  2. Step 2: Convert to fraction form
    408,869.45/613,384.41 = 142,638.65/x
  3. Step 3: Cross multiply
    408,869.45x = 613,384.41 × 142,638.65
  4. Step 4: Simplify right side
    408,869.45x = 87,492,321,106.52
  5. Step 5: Solve for x
    x = 87,492,321,106.52/408,869.45
  6. Step 6: Final answer
    x = 213,985.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.