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Finding the Fourth Proportional to 431,266.29, 646,994.63 and 131,770.27

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Solution

The fourth proportional to 431,266.29, 646,994.63 and 131,770.27 is: 197,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,266.29 : 646,994.63 = 131,770.27 : x
  2. Step 2: Convert to fraction form
    431,266.29/646,994.63 = 131,770.27/x
  3. Step 3: Cross multiply
    431,266.29x = 646,994.63 × 131,770.27
  4. Step 4: Simplify right side
    431,266.29x = 85,254,657,083.65
  5. Step 5: Solve for x
    x = 85,254,657,083.65/431,266.29
  6. Step 6: Final answer
    x = 197,684.49

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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.