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Finding the Fourth Proportional to 309,952.42, 464,928.64 and 122,963.92

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Solution

The fourth proportional to 309,952.42, 464,928.64 and 122,963.92 is: 184,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,952.42 : 464,928.64 = 122,963.92 : x
  2. Step 2: Convert to fraction form
    309,952.42/464,928.64 = 122,963.92/x
  3. Step 3: Cross multiply
    309,952.42x = 464,928.64 × 122,963.92
  4. Step 4: Simplify right side
    309,952.42x = 57,169,446,624.94
  5. Step 5: Solve for x
    x = 57,169,446,624.94/309,952.42
  6. Step 6: Final answer
    x = 184,445.88

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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.