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Finding the Fourth Proportional to 312,583.16, 431,364.24 and 169,346.84

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Solution

The fourth proportional to 312,583.16, 431,364.24 and 169,346.84 is: 233,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.16 : 431,364.24 = 169,346.84 : x
  2. Step 2: Convert to fraction form
    312,583.16/431,364.24 = 169,346.84/x
  3. Step 3: Cross multiply
    312,583.16x = 431,364.24 × 169,346.84
  4. Step 4: Simplify right side
    312,583.16x = 73,050,170,933.00
  5. Step 5: Solve for x
    x = 73,050,170,933.00/312,583.16
  6. Step 6: Final answer
    x = 233,698.36

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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.