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Finding the Fourth Proportional to 312,602.60, 431,392.02 and 169,362.64

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Solution

The fourth proportional to 312,602.60, 431,392.02 and 169,362.64 is: 233,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,602.60 : 431,392.02 = 169,362.64 : x
  2. Step 2: Convert to fraction form
    312,602.60/431,392.02 = 169,362.64/x
  3. Step 3: Cross multiply
    312,602.60x = 431,392.02 × 169,362.64
  4. Step 4: Simplify right side
    312,602.60x = 73,061,691,382.13
  5. Step 5: Solve for x
    x = 73,061,691,382.13/312,602.60
  6. Step 6: Final answer
    x = 233,720.68

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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.