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Finding the Fourth Proportional to 408,582.95, 612,343.46 and 228,660.89

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Solution

The fourth proportional to 408,582.95, 612,343.46 and 228,660.89 is: 342,694.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,582.95 : 612,343.46 = 228,660.89 : x
  2. Step 2: Convert to fraction form
    408,582.95/612,343.46 = 228,660.89/x
  3. Step 3: Cross multiply
    408,582.95x = 612,343.46 × 228,660.89
  4. Step 4: Simplify right side
    408,582.95x = 140,018,998,059.21
  5. Step 5: Solve for x
    x = 140,018,998,059.21/408,582.95
  6. Step 6: Final answer
    x = 342,694.18

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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.