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Finding the Fourth Proportional to 522,145.20, 781,662.60 and 311,674.80

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Solution

The fourth proportional to 522,145.20, 781,662.60 and 311,674.80 is: 466,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,145.20 : 781,662.60 = 311,674.80 : x
  2. Step 2: Convert to fraction form
    522,145.20/781,662.60 = 311,674.80/x
  3. Step 3: Cross multiply
    522,145.20x = 781,662.60 × 311,674.80
  4. Step 4: Simplify right side
    522,145.20x = 243,624,534,522.48
  5. Step 5: Solve for x
    x = 243,624,534,522.48/522,145.20
  6. Step 6: Final answer
    x = 466,583.88

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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.