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Finding the Fourth Proportional to 431,369.40, 646,938.90 and 150,857.40

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Solution

The fourth proportional to 431,369.40, 646,938.90 and 150,857.40 is: 226,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,369.40 : 646,938.90 = 150,857.40 : x
  2. Step 2: Convert to fraction form
    431,369.40/646,938.90 = 150,857.40/x
  3. Step 3: Cross multiply
    431,369.40x = 646,938.90 × 150,857.40
  4. Step 4: Simplify right side
    431,369.40x = 97,595,520,412.86
  5. Step 5: Solve for x
    x = 97,595,520,412.86/431,369.40
  6. Step 6: Final answer
    x = 226,245.81

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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.