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Finding the Fourth Proportional to 313,922.61, 470,873.35 and 136,429.64

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Solution

The fourth proportional to 313,922.61, 470,873.35 and 136,429.64 is: 204,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,922.61 : 470,873.35 = 136,429.64 : x
  2. Step 2: Convert to fraction form
    313,922.61/470,873.35 = 136,429.64/x
  3. Step 3: Cross multiply
    313,922.61x = 470,873.35 × 136,429.64
  4. Step 4: Simplify right side
    313,922.61x = 64,241,078,589.58
  5. Step 5: Solve for x
    x = 64,241,078,589.58/313,922.61
  6. Step 6: Final answer
    x = 204,639.86

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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.