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Finding the Fourth Proportional to 408,813.60, 612,345.60 and 338,829.60

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Solution

The fourth proportional to 408,813.60, 612,345.60 and 338,829.60 is: 507,519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,813.60 : 612,345.60 = 338,829.60 : x
  2. Step 2: Convert to fraction form
    408,813.60/612,345.60 = 338,829.60/x
  3. Step 3: Cross multiply
    408,813.60x = 612,345.60 × 338,829.60
  4. Step 4: Simplify right side
    408,813.60x = 207,480,814,709.76
  5. Step 5: Solve for x
    x = 207,480,814,709.76/408,813.60
  6. Step 6: Final answer
    x = 507,519.36

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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.