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Finding the Fourth Proportional to 403,827, 605,915.40 and 216,619.80

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Solution

The fourth proportional to 403,827, 605,915.40 and 216,619.80 is: 325,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,827 : 605,915.40 = 216,619.80 : x
  2. Step 2: Convert to fraction form
    403,827/605,915.40 = 216,619.80/x
  3. Step 3: Cross multiply
    403,827x = 605,915.40 × 216,619.80
  4. Step 4: Simplify right side
    403,827x = 131,253,272,764.92
  5. Step 5: Solve for x
    x = 131,253,272,764.92/403,827
  6. Step 6: Final answer
    x = 325,023.52

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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.