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Finding the Fourth Proportional to 431,178.27, 646,276.89 and 262,326.39

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Solution

The fourth proportional to 431,178.27, 646,276.89 and 262,326.39 is: 393,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,178.27 : 646,276.89 = 262,326.39 : x
  2. Step 2: Convert to fraction form
    431,178.27/646,276.89 = 262,326.39/x
  3. Step 3: Cross multiply
    431,178.27x = 646,276.89 × 262,326.39
  4. Step 4: Simplify right side
    431,178.27x = 169,535,483,494.13
  5. Step 5: Solve for x
    x = 169,535,483,494.13/431,178.27
  6. Step 6: Final answer
    x = 393,191.16

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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.