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Finding the Fourth Proportional to 312,577.86, 431,356.93 and 169,338.50

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Solution

The fourth proportional to 312,577.86, 431,356.93 and 169,338.50 is: 233,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,577.86 : 431,356.93 = 169,338.50 : x
  2. Step 2: Convert to fraction form
    312,577.86/431,356.93 = 169,338.50/x
  3. Step 3: Cross multiply
    312,577.86x = 431,356.93 × 169,338.50
  4. Step 4: Simplify right side
    312,577.86x = 73,045,335,490.81
  5. Step 5: Solve for x
    x = 73,045,335,490.81/312,577.86
  6. Step 6: Final answer
    x = 233,686.85

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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.