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Finding the Fourth Proportional to 431,685.36, 647,158.79 and 165,636.81

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Solution

The fourth proportional to 431,685.36, 647,158.79 and 165,636.81 is: 248,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,685.36 : 647,158.79 = 165,636.81 : x
  2. Step 2: Convert to fraction form
    431,685.36/647,158.79 = 165,636.81/x
  3. Step 3: Cross multiply
    431,685.36x = 647,158.79 × 165,636.81
  4. Step 4: Simplify right side
    431,685.36x = 107,193,318,328.77
  5. Step 5: Solve for x
    x = 107,193,318,328.77/431,685.36
  6. Step 6: Final answer
    x = 248,313.53

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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.