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Finding the Fourth Proportional to 409,163.20, 612,016.80 and 367,345.60

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Solution

The fourth proportional to 409,163.20, 612,016.80 and 367,345.60 is: 549,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,163.20 : 612,016.80 = 367,345.60 : x
  2. Step 2: Convert to fraction form
    409,163.20/612,016.80 = 367,345.60/x
  3. Step 3: Cross multiply
    409,163.20x = 612,016.80 × 367,345.60
  4. Step 4: Simplify right side
    409,163.20x = 224,821,678,606.08
  5. Step 5: Solve for x
    x = 224,821,678,606.08/409,163.20
  6. Step 6: Final answer
    x = 549,467.01

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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.