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Finding the Fourth Proportional to 312,431.60, 431,156.02 and 169,191.88

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Solution

The fourth proportional to 312,431.60, 431,156.02 and 169,191.88 is: 233,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,431.60 : 431,156.02 = 169,191.88 : x
  2. Step 2: Convert to fraction form
    312,431.60/431,156.02 = 169,191.88/x
  3. Step 3: Cross multiply
    312,431.60x = 431,156.02 × 169,191.88
  4. Step 4: Simplify right side
    312,431.60x = 72,948,097,597.12
  5. Step 5: Solve for x
    x = 72,948,097,597.12/312,431.60
  6. Step 6: Final answer
    x = 233,485.02

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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.