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Finding the Fourth Proportional to 312,577.36, 431,356.24 and 169,338

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Solution

The fourth proportional to 312,577.36, 431,356.24 and 169,338 is: 233,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,577.36 : 431,356.24 = 169,338 : x
  2. Step 2: Convert to fraction form
    312,577.36/431,356.24 = 169,338/x
  3. Step 3: Cross multiply
    312,577.36x = 431,356.24 × 169,338
  4. Step 4: Simplify right side
    312,577.36x = 73,045,002,969.12
  5. Step 5: Solve for x
    x = 73,045,002,969.12/312,577.36
  6. Step 6: Final answer
    x = 233,686.16

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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.