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Finding the Fourth Proportional to 431,202.25, 646,138 and 273,098.58

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Solution

The fourth proportional to 431,202.25, 646,138 and 273,098.58 is: 409,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,202.25 : 646,138 = 273,098.58 : x
  2. Step 2: Convert to fraction form
    431,202.25/646,138 = 273,098.58/x
  3. Step 3: Cross multiply
    431,202.25x = 646,138 × 273,098.58
  4. Step 4: Simplify right side
    431,202.25x = 176,459,370,284.04
  5. Step 5: Solve for x
    x = 176,459,370,284.04/431,202.25
  6. Step 6: Final answer
    x = 409,226.46

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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.