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Finding the Fourth Proportional to 409,929.60, 616,206.60 and 292,414.80

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Solution

The fourth proportional to 409,929.60, 616,206.60 and 292,414.80 is: 439,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,929.60 : 616,206.60 = 292,414.80 : x
  2. Step 2: Convert to fraction form
    409,929.60/616,206.60 = 292,414.80/x
  3. Step 3: Cross multiply
    409,929.60x = 616,206.60 × 292,414.80
  4. Step 4: Simplify right side
    409,929.60x = 180,187,929,697.68
  5. Step 5: Solve for x
    x = 180,187,929,697.68/409,929.60
  6. Step 6: Final answer
    x = 439,558.23

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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.