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Finding the Fourth Proportional to 315,573.20, 472,582.20 and 209,819.60

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Solution

The fourth proportional to 315,573.20, 472,582.20 and 209,819.60 is: 314,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,573.20 : 472,582.20 = 209,819.60 : x
  2. Step 2: Convert to fraction form
    315,573.20/472,582.20 = 209,819.60/x
  3. Step 3: Cross multiply
    315,573.20x = 472,582.20 × 209,819.60
  4. Step 4: Simplify right side
    315,573.20x = 99,157,008,171.12
  5. Step 5: Solve for x
    x = 99,157,008,171.12/315,573.20
  6. Step 6: Final answer
    x = 314,212.39

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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.