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Finding the Fourth Proportional to 309,099.20, 462,871.20 and 203,345.60

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Solution

The fourth proportional to 309,099.20, 462,871.20 and 203,345.60 is: 304,506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,099.20 : 462,871.20 = 203,345.60 : x
  2. Step 2: Convert to fraction form
    309,099.20/462,871.20 = 203,345.60/x
  3. Step 3: Cross multiply
    309,099.20x = 462,871.20 × 203,345.60
  4. Step 4: Simplify right side
    309,099.20x = 94,122,821,886.72
  5. Step 5: Solve for x
    x = 94,122,821,886.72/309,099.20
  6. Step 6: Final answer
    x = 304,506.84

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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.