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Finding the Fourth Proportional to 309,953.42, 464,930.14 and 122,964.92

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Solution

The fourth proportional to 309,953.42, 464,930.14 and 122,964.92 is: 184,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,953.42 : 464,930.14 = 122,964.92 : x
  2. Step 2: Convert to fraction form
    309,953.42/464,930.14 = 122,964.92/x
  3. Step 3: Cross multiply
    309,953.42x = 464,930.14 × 122,964.92
  4. Step 4: Simplify right side
    309,953.42x = 57,170,097,470.69
  5. Step 5: Solve for x
    x = 57,170,097,470.69/309,953.42
  6. Step 6: Final answer
    x = 184,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.