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Finding the Fourth Proportional to 207,212.80, 310,819.20 and 145,004.80

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Solution

The fourth proportional to 207,212.80, 310,819.20 and 145,004.80 is: 217,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,212.80 : 310,819.20 = 145,004.80 : x
  2. Step 2: Convert to fraction form
    207,212.80/310,819.20 = 145,004.80/x
  3. Step 3: Cross multiply
    207,212.80x = 310,819.20 × 145,004.80
  4. Step 4: Simplify right side
    207,212.80x = 45,070,275,932.16
  5. Step 5: Solve for x
    x = 45,070,275,932.16/207,212.80
  6. Step 6: Final answer
    x = 217,507.20

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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.