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Finding the Fourth Proportional to 312,584.12, 431,364.36 and 169,346.96

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Solution

The fourth proportional to 312,584.12, 431,364.36 and 169,346.96 is: 233,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,584.12 : 431,364.36 = 169,346.96 : x
  2. Step 2: Convert to fraction form
    312,584.12/431,364.36 = 169,346.96/x
  3. Step 3: Cross multiply
    312,584.12x = 431,364.36 × 169,346.96
  4. Step 4: Simplify right side
    312,584.12x = 73,050,243,018.35
  5. Step 5: Solve for x
    x = 73,050,243,018.35/312,584.12
  6. Step 6: Final answer
    x = 233,697.87

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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.