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Finding the Fourth Proportional to 312,723.88, 431,602.50 and 232,397.80

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Solution

The fourth proportional to 312,723.88, 431,602.50 and 232,397.80 is: 320,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,723.88 : 431,602.50 = 232,397.80 : x
  2. Step 2: Convert to fraction form
    312,723.88/431,602.50 = 232,397.80/x
  3. Step 3: Cross multiply
    312,723.88x = 431,602.50 × 232,397.80
  4. Step 4: Simplify right side
    312,723.88x = 100,303,471,474.50
  5. Step 5: Solve for x
    x = 100,303,471,474.50/312,723.88
  6. Step 6: Final answer
    x = 320,741.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.