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Finding the Fourth Proportional to 312,447.76, 431,178.06 and 169,208.44

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Solution

The fourth proportional to 312,447.76, 431,178.06 and 169,208.44 is: 233,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,447.76 : 431,178.06 = 169,208.44 : x
  2. Step 2: Convert to fraction form
    312,447.76/431,178.06 = 169,208.44/x
  3. Step 3: Cross multiply
    312,447.76x = 431,178.06 × 169,208.44
  4. Step 4: Simplify right side
    312,447.76x = 72,958,966,894.83
  5. Step 5: Solve for x
    x = 72,958,966,894.83/312,447.76
  6. Step 6: Final answer
    x = 233,507.73

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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.