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Finding the Fourth Proportional to 313,834.56, 432,992.16 and 194,671.68

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Solution

The fourth proportional to 313,834.56, 432,992.16 and 194,671.68 is: 268,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,834.56 : 432,992.16 = 194,671.68 : x
  2. Step 2: Convert to fraction form
    313,834.56/432,992.16 = 194,671.68/x
  3. Step 3: Cross multiply
    313,834.56x = 432,992.16 × 194,671.68
  4. Step 4: Simplify right side
    313,834.56x = 84,291,311,214.03
  5. Step 5: Solve for x
    x = 84,291,311,214.03/313,834.56
  6. Step 6: Final answer
    x = 268,585.18

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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.