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Finding the Fourth Proportional to 310,956.94, 429,115.38 and 174,990.73

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Solution

The fourth proportional to 310,956.94, 429,115.38 and 174,990.73 is: 241,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,956.94 : 429,115.38 = 174,990.73 : x
  2. Step 2: Convert to fraction form
    310,956.94/429,115.38 = 174,990.73/x
  3. Step 3: Cross multiply
    310,956.94x = 429,115.38 × 174,990.73
  4. Step 4: Simplify right side
    310,956.94x = 75,091,213,600.43
  5. Step 5: Solve for x
    x = 75,091,213,600.43/310,956.94
  6. Step 6: Final answer
    x = 241,484.28

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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.