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Finding the Fourth Proportional to 411,330.60, 617,039.10 and 130,782.60

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Solution

The fourth proportional to 411,330.60, 617,039.10 and 130,782.60 is: 196,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,330.60 : 617,039.10 = 130,782.60 : x
  2. Step 2: Convert to fraction form
    411,330.60/617,039.10 = 130,782.60/x
  3. Step 3: Cross multiply
    411,330.60x = 617,039.10 × 130,782.60
  4. Step 4: Simplify right side
    411,330.60x = 80,697,977,799.66
  5. Step 5: Solve for x
    x = 80,697,977,799.66/411,330.60
  6. Step 6: Final answer
    x = 196,187.64

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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.