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Finding the Fourth Proportional to 408,402.94, 612,204.46 and 228,576.20

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Solution

The fourth proportional to 408,402.94, 612,204.46 and 228,576.20 is: 342,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,402.94 : 612,204.46 = 228,576.20 : x
  2. Step 2: Convert to fraction form
    408,402.94/612,204.46 = 228,576.20/x
  3. Step 3: Cross multiply
    408,402.94x = 612,204.46 × 228,576.20
  4. Step 4: Simplify right side
    408,402.94x = 139,935,369,089.85
  5. Step 5: Solve for x
    x = 139,935,369,089.85/408,402.94
  6. Step 6: Final answer
    x = 342,640.45

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1.5x scale

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.