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Finding the Fourth Proportional to 209,615.60, 313,962.60 and 205,007.60

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Solution

The fourth proportional to 209,615.60, 313,962.60 and 205,007.60 is: 307,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.60 : 313,962.60 = 205,007.60 : x
  2. Step 2: Convert to fraction form
    209,615.60/313,962.60 = 205,007.60/x
  3. Step 3: Cross multiply
    209,615.60x = 313,962.60 × 205,007.60
  4. Step 4: Simplify right side
    209,615.60x = 64,364,719,115.76
  5. Step 5: Solve for x
    x = 64,364,719,115.76/209,615.60
  6. Step 6: Final answer
    x = 307,060.73

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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.