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Finding the Fourth Proportional to 541,775.20, 811,915.44 and 408,509

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Solution

The fourth proportional to 541,775.20, 811,915.44 and 408,509 is: 612,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,775.20 : 811,915.44 = 408,509 : x
  2. Step 2: Convert to fraction form
    541,775.20/811,915.44 = 408,509/x
  3. Step 3: Cross multiply
    541,775.20x = 811,915.44 × 408,509
  4. Step 4: Simplify right side
    541,775.20x = 331,674,764,478.96
  5. Step 5: Solve for x
    x = 331,674,764,478.96/541,775.20
  6. Step 6: Final answer
    x = 612,199.98

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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.