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Finding the Fourth Proportional to 312,394.14, 431,103.29 and 169,154.60

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Solution

The fourth proportional to 312,394.14, 431,103.29 and 169,154.60 is: 233,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,394.14 : 431,103.29 = 169,154.60 : x
  2. Step 2: Convert to fraction form
    312,394.14/431,103.29 = 169,154.60/x
  3. Step 3: Cross multiply
    312,394.14x = 431,103.29 × 169,154.60
  4. Step 4: Simplify right side
    312,394.14x = 72,923,104,578.63
  5. Step 5: Solve for x
    x = 72,923,104,578.63/312,394.14
  6. Step 6: Final answer
    x = 233,433.01

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1.5x scale

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.