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Finding the Fourth Proportional to 441,097.80, 661,646.70 and 400,419.60

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Solution

The fourth proportional to 441,097.80, 661,646.70 and 400,419.60 is: 600,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,097.80 : 661,646.70 = 400,419.60 : x
  2. Step 2: Convert to fraction form
    441,097.80/661,646.70 = 400,419.60/x
  3. Step 3: Cross multiply
    441,097.80x = 661,646.70 × 400,419.60
  4. Step 4: Simplify right side
    441,097.80x = 264,936,306,955.32
  5. Step 5: Solve for x
    x = 264,936,306,955.32/441,097.80
  6. Step 6: Final answer
    x = 600,629.40

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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.