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Finding the Fourth Proportional to 408,099.20, 612,148.80 and 296,124.80

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Solution

The fourth proportional to 408,099.20, 612,148.80 and 296,124.80 is: 444,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,099.20 : 612,148.80 = 296,124.80 : x
  2. Step 2: Convert to fraction form
    408,099.20/612,148.80 = 296,124.80/x
  3. Step 3: Cross multiply
    408,099.20x = 612,148.80 × 296,124.80
  4. Step 4: Simplify right side
    408,099.20x = 181,272,440,970.24
  5. Step 5: Solve for x
    x = 181,272,440,970.24/408,099.20
  6. Step 6: Final answer
    x = 444,187.20

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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.