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Finding the Fourth Proportional to 407,769.60, 611,654.40 and 348,720.60

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Solution

The fourth proportional to 407,769.60, 611,654.40 and 348,720.60 is: 523,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,769.60 : 611,654.40 = 348,720.60 : x
  2. Step 2: Convert to fraction form
    407,769.60/611,654.40 = 348,720.60/x
  3. Step 3: Cross multiply
    407,769.60x = 611,654.40 × 348,720.60
  4. Step 4: Simplify right side
    407,769.60x = 213,296,489,360.64
  5. Step 5: Solve for x
    x = 213,296,489,360.64/407,769.60
  6. Step 6: Final answer
    x = 523,080.90

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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.