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Finding the Fourth Proportional to 408,582.76, 612,722.46 and 142,274.92

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Solution

The fourth proportional to 408,582.76, 612,722.46 and 142,274.92 is: 213,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,582.76 : 612,722.46 = 142,274.92 : x
  2. Step 2: Convert to fraction form
    408,582.76/612,722.46 = 142,274.92/x
  3. Step 3: Cross multiply
    408,582.76x = 612,722.46 × 142,274.92
  4. Step 4: Simplify right side
    408,582.76x = 87,175,038,978.70
  5. Step 5: Solve for x
    x = 87,175,038,978.70/408,582.76
  6. Step 6: Final answer
    x = 213,359.56

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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.