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Finding the Fourth Proportional to 312,583.41, 431,362.41 and 169,343.12

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Solution

The fourth proportional to 312,583.41, 431,362.41 and 169,343.12 is: 233,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.41 : 431,362.41 = 169,343.12 : x
  2. Step 2: Convert to fraction form
    312,583.41/431,362.41 = 169,343.12/x
  3. Step 3: Cross multiply
    312,583.41x = 431,362.41 × 169,343.12
  4. Step 4: Simplify right side
    312,583.41x = 73,048,254,203.31
  5. Step 5: Solve for x
    x = 73,048,254,203.31/312,583.41
  6. Step 6: Final answer
    x = 233,692.04

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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.