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Finding the Fourth Proportional to 209,213.28, 313,424.64 and 161,909.28

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Solution

The fourth proportional to 209,213.28, 313,424.64 and 161,909.28 is: 242,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.28 : 313,424.64 = 161,909.28 : x
  2. Step 2: Convert to fraction form
    209,213.28/313,424.64 = 161,909.28/x
  3. Step 3: Cross multiply
    209,213.28x = 313,424.64 × 161,909.28
  4. Step 4: Simplify right side
    209,213.28x = 50,746,357,796.66
  5. Step 5: Solve for x
    x = 50,746,357,796.66/209,213.28
  6. Step 6: Final answer
    x = 242,558.01

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1.5x scale

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.