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Finding the Fourth Proportional to 409,277.20, 613,915.80 and 393,530.80

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Solution

The fourth proportional to 409,277.20, 613,915.80 and 393,530.80 is: 590,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,277.20 : 613,915.80 = 393,530.80 : x
  2. Step 2: Convert to fraction form
    409,277.20/613,915.80 = 393,530.80/x
  3. Step 3: Cross multiply
    409,277.20x = 613,915.80 × 393,530.80
  4. Step 4: Simplify right side
    409,277.20x = 241,594,775,906.64
  5. Step 5: Solve for x
    x = 241,594,775,906.64/409,277.20
  6. Step 6: Final answer
    x = 590,296.20

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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.