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Finding the Fourth Proportional to 431,991.40, 647,679.66 and 165,526.60

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Solution

The fourth proportional to 431,991.40, 647,679.66 and 165,526.60 is: 248,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,991.40 : 647,679.66 = 165,526.60 : x
  2. Step 2: Convert to fraction form
    431,991.40/647,679.66 = 165,526.60/x
  3. Step 3: Cross multiply
    431,991.40x = 647,679.66 × 165,526.60
  4. Step 4: Simplify right side
    431,991.40x = 107,208,212,008.96
  5. Step 5: Solve for x
    x = 107,208,212,008.96/431,991.40
  6. Step 6: Final answer
    x = 248,172.10

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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.