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Finding the Fourth Proportional to 431,399.90, 646,553.10 and 164,804.60

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Solution

The fourth proportional to 431,399.90, 646,553.10 and 164,804.60 is: 246,998.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,399.90 : 646,553.10 = 164,804.60 : x
  2. Step 2: Convert to fraction form
    431,399.90/646,553.10 = 164,804.60/x
  3. Step 3: Cross multiply
    431,399.90x = 646,553.10 × 164,804.60
  4. Step 4: Simplify right side
    431,399.90x = 106,554,925,024.26
  5. Step 5: Solve for x
    x = 106,554,925,024.26/431,399.90
  6. Step 6: Final answer
    x = 246,998.03

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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.