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Finding the Fourth Proportional to 313,926.80, 470,879.78 and 136,434.02

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Solution

The fourth proportional to 313,926.80, 470,879.78 and 136,434.02 is: 204,646.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,926.80 : 470,879.78 = 136,434.02 : x
  2. Step 2: Convert to fraction form
    313,926.80/470,879.78 = 136,434.02/x
  3. Step 3: Cross multiply
    313,926.80x = 470,879.78 × 136,434.02
  4. Step 4: Simplify right side
    313,926.80x = 64,244,021,322.12
  5. Step 5: Solve for x
    x = 64,244,021,322.12/313,926.80
  6. Step 6: Final answer
    x = 204,646.50

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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.