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Finding the Fourth Proportional to 312,268.42, 430,931.49 and 169,028.42

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Solution

The fourth proportional to 312,268.42, 430,931.49 and 169,028.42 is: 233,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,268.42 : 430,931.49 = 169,028.42 : x
  2. Step 2: Convert to fraction form
    312,268.42/430,931.49 = 169,028.42/x
  3. Step 3: Cross multiply
    312,268.42x = 430,931.49 × 169,028.42
  4. Step 4: Simplify right side
    312,268.42x = 72,839,668,882.95
  5. Step 5: Solve for x
    x = 72,839,668,882.95/312,268.42
  6. Step 6: Final answer
    x = 233,259.80

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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.