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Finding the Fourth Proportional to 319,365.20, 478,529.40 and 200,824.40

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Solution

The fourth proportional to 319,365.20, 478,529.40 and 200,824.40 is: 300,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,365.20 : 478,529.40 = 200,824.40 : x
  2. Step 2: Convert to fraction form
    319,365.20/478,529.40 = 200,824.40/x
  3. Step 3: Cross multiply
    319,365.20x = 478,529.40 × 200,824.40
  4. Step 4: Simplify right side
    319,365.20x = 96,100,379,637.36
  5. Step 5: Solve for x
    x = 96,100,379,637.36/319,365.20
  6. Step 6: Final answer
    x = 300,910.62

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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.