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Finding the Fourth Proportional to 312,322.83, 431,004.96 and 169,082.83

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Solution

The fourth proportional to 312,322.83, 431,004.96 and 169,082.83 is: 233,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,322.83 : 431,004.96 = 169,082.83 : x
  2. Step 2: Convert to fraction form
    312,322.83/431,004.96 = 169,082.83/x
  3. Step 3: Cross multiply
    312,322.83x = 431,004.96 × 169,082.83
  4. Step 4: Simplify right side
    312,322.83x = 72,875,538,380.84
  5. Step 5: Solve for x
    x = 72,875,538,380.84/312,322.83
  6. Step 6: Final answer
    x = 233,334.01

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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.