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Finding the Fourth Proportional to 312,313.44, 430,992.80 and 169,074.72

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Solution

The fourth proportional to 312,313.44, 430,992.80 and 169,074.72 is: 233,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,313.44 : 430,992.80 = 169,074.72 : x
  2. Step 2: Convert to fraction form
    312,313.44/430,992.80 = 169,074.72/x
  3. Step 3: Cross multiply
    312,313.44x = 430,992.80 × 169,074.72
  4. Step 4: Simplify right side
    312,313.44x = 72,869,986,982.02
  5. Step 5: Solve for x
    x = 72,869,986,982.02/312,313.44
  6. Step 6: Final answer
    x = 233,323.25

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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.