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Finding the Fourth Proportional to 522,055.20, 781,527.60 and 311,584.80

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Solution

The fourth proportional to 522,055.20, 781,527.60 and 311,584.80 is: 466,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,055.20 : 781,527.60 = 311,584.80 : x
  2. Step 2: Convert to fraction form
    522,055.20/781,527.60 = 311,584.80/x
  3. Step 3: Cross multiply
    522,055.20x = 781,527.60 × 311,584.80
  4. Step 4: Simplify right side
    522,055.20x = 243,512,120,940.48
  5. Step 5: Solve for x
    x = 243,512,120,940.48/522,055.20
  6. Step 6: Final answer
    x = 466,448.99

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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.