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Finding the Fourth Proportional to 513,168.30, 769,877.64 and 361,660.77

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Solution

The fourth proportional to 513,168.30, 769,877.64 and 361,660.77 is: 542,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,168.30 : 769,877.64 = 361,660.77 : x
  2. Step 2: Convert to fraction form
    513,168.30/769,877.64 = 361,660.77/x
  3. Step 3: Cross multiply
    513,168.30x = 769,877.64 × 361,660.77
  4. Step 4: Simplify right side
    513,168.30x = 278,434,540,088.18
  5. Step 5: Solve for x
    x = 278,434,540,088.18/513,168.30
  6. Step 6: Final answer
    x = 542,579.38

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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.