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Finding the Fourth Proportional to 431,390.40, 646,599.60 and 206,858.40

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Solution

The fourth proportional to 431,390.40, 646,599.60 and 206,858.40 is: 310,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,390.40 : 646,599.60 = 206,858.40 : x
  2. Step 2: Convert to fraction form
    431,390.40/646,599.60 = 206,858.40/x
  3. Step 3: Cross multiply
    431,390.40x = 646,599.60 × 206,858.40
  4. Step 4: Simplify right side
    431,390.40x = 133,754,558,696.64
  5. Step 5: Solve for x
    x = 133,754,558,696.64/431,390.40
  6. Step 6: Final answer
    x = 310,054.56

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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.